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102200001202221 = 3137187811420319
BaseRepresentation
bin10111001111001101001010…
…110001001000100000101101
3111101212020001210201010212220
4113033031022301020200231
5101343421100301432341
61001210010555345553
730345464205622326
oct2717151261104055
9441766053633786
10102200001202221
112a62286036a42a
12b5670657522b9
13450455a02a750
141b347139b744d
15bc36cadaca66
hex5cf34ac4882d

102200001202221 has 32 divisors (see below), whose sum is σ = 148817651834880. Its totient is φ = 62005647614400.

The previous prime is 102200001202133. The next prime is 102200001202231. The reversal of 102200001202221 is 122202100002201.

It is not a de Polignac number, because 102200001202221 - 214 = 102200001185837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102200001202221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200001202231) 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, 242938500 + ... + 243358818.

It is an arithmetic number, because the mean of its divisors is an integer number (4650551619840).

Almost surely, 2102200001202221 is an apocalyptic number.

It is an amenable number.

102200001202221 is a deficient number, since it is larger than the sum of its proper divisors (46617650632659).

102200001202221 is a wasteful number, since it uses less digits than its factorization.

102200001202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508217.

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

Adding to 102200001202221 its reverse (122202100002201), we get a palindrome (224402101204422).

The spelling of 102200001202221 in words is "one hundred two trillion, two hundred billion, one million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 13 39 71 213 923 2769 87811 263433 420319 1141543 1260957 3424629 5464147 6234581 16392441 18703743 29842649 81049553 89527947 243148659 387954437 1163863311 36908631709 110725895127 479812212217 1439436636651 2620512851339 7861538554017 34066667067407 102200001202221