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100102002202221 = 31312311306136007
BaseRepresentation
bin10110110000101011010000…
…010010000101011001101101
3111010102122202122110021122020
4112300223100102011121231
5101110032400030432341
6552522120331540353
730041062634434065
oct2660532022053155
9433378678407566
10100102002202221
1129994025653458
12b288531bba6b9
1343b17696c1216
141aa0d69b423a5
15b88d396a4566
hex5b0ad048566d

100102002202221 has 32 divisors (see below), whose sum is σ = 134594073901056. Its totient is φ = 66173123016000.

The previous prime is 100102002202219. The next prime is 100102002202271. The reversal of 100102002202221 is 122202200201001.

It is not a de Polignac number, because 100102002202221 - 21 = 100102002202219 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100102002202221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102002202271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2780052600 + ... + 2780088606.

It is an arithmetic number, because the mean of its divisors is an integer number (4206064809408).

Almost surely, 2100102002202221 is an apocalyptic number.

It is an amenable number.

100102002202221 is a deficient number, since it is larger than the sum of its proper divisors (34492071698835).

100102002202221 is a wasteful number, since it uses less digits than its factorization.

100102002202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41513.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100102002202221 its reverse (122202200201001), we get a palindrome (222304202403222).

The spelling of 100102002202221 in words is "one hundred trillion, one hundred two billion, two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 131 393 2311 3061 6933 9183 36007 108021 302741 400991 908223 1202973 4716917 7073971 14150751 21221913 83212177 110217427 249636531 330652281 926690201 2780070603 10900795187 14438482937 32702385561 43315448811 254712473797 764137421391 33367334067407 100102002202221