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101200110210012 = 223118635101174157
BaseRepresentation
bin10111000000101001111100…
…100111101100101111011100
3111021022122011200101212222110
4113000221330213230233130
5101231030311203210022
6555122404441314020
730213316033463262
oct2700517447545734
9437278150355873
10101200110210012
112a2777a8a28720
12b425314195910
13446118b50a778
141adc17bc28432
15ba76a8eca00c
hex5c0a7c9ecbdc

101200110210012 has 96 divisors (see below), whose sum is σ = 257950814091264. Its totient is φ = 30624984288000.

The previous prime is 101200110209993. The next prime is 101200110210053. The reversal of 101200110210012 is 210012011002101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 101200110210012.

It is a congruent number.

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, 580998438 + ... + 581172594.

It is an arithmetic number, because the mean of its divisors is an integer number (2686987646784).

Almost surely, 2101200110210012 is an apocalyptic number.

101200110210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101200110210012 is an abundant number, since it is smaller than the sum of its proper divisors (156750703881252).

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

101200110210012 is a wasteful number, since it uses less digits than its factorization.

101200110210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180139 (or 180137 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101200110210012 its reverse (210012011002101), we get a palindrome (311212121212113).

The spelling of 101200110210012 in words is "one hundred one trillion, two hundred billion, one hundred ten million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 863 1726 2589 3452 5101 5178 9493 10202 10356 15303 18986 20404 28479 30606 37972 56111 56958 61212 112222 113916 168333 174157 224444 336666 348314 522471 673332 696628 1044942 1915727 2089884 3831454 4402163 5747181 7662908 8804326 11494362 13206489 17608652 22988724 26412978 48423793 52825956 96847586 145271379 150297491 193695172 290542758 300594982 450892473 581085516 601189964 888374857 901784946 1653272401 1776749714 1803569892 2665124571 3306544802 3553499428 4959817203 5330249142 6613089604 9772123427 9919634406 10660498284 19544246854 19839268812 29316370281 39088493708 58632740562 117265481124 766667501591 1533335003182 2300002504773 3066670006364 4600005009546 8433342517501 9200010019092 16866685035002 25300027552503 33733370070004 50600055105006 101200110210012