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101012120111210 = 2571131231880723
BaseRepresentation
bin10110111101111010110111…
…100010011000100001101010
3111020122122221022212101201112
4112331322313202120201222
5101214440310222024320
6554500154413150322
730163612334141420
oct2675726742304152
9436578838771645
10101012120111210
112a204aaa471000
12b3b49aa78b3a2
13444952c40ba09
141ad3026bc1110
15ba28550ceec5
hex5bdeb789886a

101012120111210 has 128 divisors (see below), whose sum is σ = 228746315685888. Its totient is φ = 31458685262400.

The previous prime is 101012120111107. The next prime is 101012120111237. The reversal of 101012120111210 is 12111021210101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114251909 + ... + 115132631.

It is an arithmetic number, because the mean of its divisors is an integer number (1787080591296).

Almost surely, 2101012120111210 is an apocalyptic number.

101012120111210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101012120111210 is an abundant number, since it is smaller than the sum of its proper divisors (127734195574678).

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

101012120111210 is a wasteful number, since it uses less digits than its factorization.

101012120111210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882001 (or 881979 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101012120111210 its reverse (12111021210101), we get a palindrome (113123141321311).

The spelling of 101012120111210 in words is "one hundred one trillion, twelve billion, one hundred twenty million, one hundred eleven thousand, two hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 121 154 242 385 605 770 847 1210 1231 1331 1694 2462 2662 4235 6155 6655 8470 8617 9317 12310 13310 13541 17234 18634 27082 43085 46585 67705 86170 93170 94787 135410 148951 189574 297902 473935 744755 880723 947870 1042657 1489510 1638461 1761446 2085314 3276922 4403615 5213285 6165061 8192305 8807230 9687953 10426570 11469227 12330122 16384610 19375906 22938454 30825305 48439765 57346135 61650610 67815671 96879530 106567483 114692270 135631342 213134966 339078355 532837415 678156710 745972381 1065674830 1084170013 1172242313 1491944762 2168340026 2344484626 3729861905 5420850065 5861211565 7459723810 7589190091 8205696191 10841700130 11722423130 11925870143 15178380182 16411392382 23851740286 37945950455 41028480955 59629350715 75891900910 82056961910 83481091001 119258701430 131184571573 166962182002 262369143146 417405455005 655922857865 834810910010 918292001011 1311845715730 1443030287303 1836584002022 2886060574606 4591460005055 7215151436515 9182920010110 10101212011121 14430302873030 20202424022242 50506060055605 101012120111210