102200211012112 has 10 divisors (see below), whose sum is σ = 198012908835998. Its totient is φ = 51100105506048.

The previous prime is 102200211012101. The next prime is 102200211012143. The reversal of 102200211012112 is 211210112002201.

It can be written as a sum of positive squares in only one way, i.e., 57970315902976 + 44229895109136 = 7613824^2 + 6650556^2 .

It is a super-2 number, since 2×102200211012112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 6387513188257 = 102200211012112 / (1 + 0 + 2 + 2 + 0 + 0 + 2 + 1 + 1 + 0 + 1 + 2 + 1 + 1 + 2).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3193756594113 + ... + 3193756594144.

Almost surely, 2^{102200211012112} is an apocalyptic number.

It is an amenable number.

102200211012112 is a deficient number, since it is larger than the sum of its proper divisors (95812697823886).

102200211012112 is an equidigital number, since it uses as much as digits as its factorization.

102200211012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6387513188265 (or 6387513188259 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102200211012112 its reverse (211210112002201), we get a palindrome (313410323014313).

The spelling of 102200211012112 in words is "one hundred two trillion, two hundred billion, two hundred eleven million, twelve thousand, one hundred twelve".