102112121100112 has 10 divisors (see below), whose sum is σ = 197842234631498. Its totient is φ = 51056060550048.

The previous prime is 102112121100103. The next prime is 102112121100131. The reversal of 102112121100112 is 211001121211201.

It can be written as a sum of positive squares in only one way, i.e., 96330770150976 + 5781350949136 = 9814824^2 + 2404444^2 .

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: 6382007568757 = 102112121100112 / (1 + 0 + 2 + 1 + 1 + 2 + 1 + 2 + 1 + 1 + 0 + 0 + 1 + 1 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3191003784363 + ... + 3191003784394.

Almost surely, 2^{102112121100112} is an apocalyptic number.

It is an amenable number.

102112121100112 is a deficient number, since it is larger than the sum of its proper divisors (95730113531386).

102112121100112 is an equidigital number, since it uses as much as digits as its factorization.

102112121100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382007568765 (or 6382007568759 counting only the distinct ones).

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

Adding to 102112121100112 its reverse (211001121211201), we get a palindrome (313113242311313).

The spelling of 102112121100112 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred thousand, one hundred twelve".