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101210000121220 = 225291492115550431
BaseRepresentation
bin10111000000110011001010…
…000110101101110110000100
3111021100120200221000102200011
4113000303022012231312010
5101231211040012334340
6555131122052400004
730214116103363534
oct2700631206556604
9437316627012604
10101210000121220
112a280a13590361
12b427214316004
1344620a6461333
141adc8394d14c4
15ba7a8738e0ea
hex5c0cca1add84

101210000121220 has 96 divisors (see below), whose sum is σ = 222394709376000. Its totient is φ = 38641649625600.

The previous prime is 101210000121211. The next prime is 101210000121233. The reversal of 101210000121220 is 22121000012101.

It is a self number, because there is not a number n which added to its sum of digits gives 101210000121220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15459405 + ... + 21009835.

It is an arithmetic number, because the mean of its divisors is an integer number (2316611556000).

Almost surely, 2101210000121220 is an apocalyptic number.

101210000121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210000121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111197354688000).

101210000121220 is an abundant number, since it is smaller than the sum of its proper divisors (121184709254780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101210000121220 is a wasteful number, since it uses less digits than its factorization.

101210000121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550829 (or 5550827 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101210000121220 its reverse (22121000012101), we get a palindrome (123331000133321).

The spelling of 101210000121220 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 149 211 290 298 422 580 596 745 844 1055 1490 2110 2980 4220 4321 6119 8642 12238 17284 21605 24476 30595 31439 43210 61190 62878 86420 122380 125756 157195 314390 628780 911731 1823462 3646924 4558655 5550431 9117310 11100862 18234620 22201724 27752155 55504310 111008620 160962499 321924998 643849996 804812495 827014219 1171140941 1609624990 1654028438 2342281882 3219249980 3308056876 4135071095 4684563764 5855704705 8270142190 11711409410 16540284380 23422818820 23983412351 33963087289 47966824702 67926174578 95933649404 119917061755 135852349156 169815436445 174500000209 239834123510 339630872890 349000000418 479668247020 679261745780 698000000836 872500001045 1745000002090 3490000004180 5060500006061 10121000012122 20242000024244 25302500030305 50605000060610 101210000121220