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100121220211122 = 232114991889536449
BaseRepresentation
bin10110110000111101001001…
…110000111110000110110010
3111010111111100222112021202200
4112300331021300332012302
5101110341224333223442
6552535015324324030
730042343113011415
oct2660751160760662
9433444328467680
10100121220211122
11299a1197721a40
12b2901b60a3616
1343b3510080016
141aa1c70229b7c
15b895b195434c
hex5b0f49c3e1b2

100121220211122 has 96 divisors (see below), whose sum is σ = 237250377000000. Its totient is φ = 30262877061120.

The previous prime is 100121220211073. The next prime is 100121220211163. The reversal of 100121220211122 is 221112022121001.

100121220211122 is a `hidden beast` number, since 100 + 1 + 212 + 20 + 211 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100121220211095 and 100121220211104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186368754 + ... + 186905202.

It is an arithmetic number, because the mean of its divisors is an integer number (2471358093750).

Almost surely, 2100121220211122 is an apocalyptic number.

100121220211122 is an abundant number, since it is smaller than the sum of its proper divisors (137129156788878).

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

100121220211122 is a wasteful number, since it uses less digits than its factorization.

100121220211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538856 (or 538853 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100121220211122 its reverse (221112022121001), we get a palindrome (321233242332123).

The spelling of 100121220211122 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 499 998 1497 1889 2994 3778 4491 5489 5667 8982 10978 11334 16467 17001 20779 32934 34002 41558 49401 62337 98802 124674 187011 374022 536449 942611 1072898 1609347 1885222 2827833 3218694 4828041 5655666 5900939 8483499 9656082 10368721 11801878 16966998 17702817 20737442 31106163 35405634 53108451 62212326 93318489 106216902 186636978 267688051 535376102 803064153 1013352161 1606128306 2026704322 2409192459 2944568561 3040056483 4818384918 5889137122 6080112966 8833705683 9120169449 11146873771 17667411366 18240338898 22293747542 26501117049 33440621313 53002234098 66881242626 100321863939 200643727878 505662728339 1011325456678 1516988185017 3033976370034 4550964555051 5562290011729 9101929110102 11124580023458 16686870035187 33373740070374 50060610105561 100121220211122