102100121012112 has 40 divisors (see below), whose sum is σ = 264028613977056. Its totient is φ = 33998539086336.

The previous prime is 102100121012089. The next prime is 102100121012119. The reversal of 102100121012112 is 211210121001201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102100121012091 and 102100121012100.

It is not an unprimeable number, because it can be changed into a prime (102100121012119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1088533378 + ... + 1088627169.

Almost surely, 2^{102100121012112} is an apocalyptic number.

102100121012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102100121012112 is an abundant number, since it is smaller than the sum of its proper divisors (161928492964944).

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

102100121012112 is a wasteful number, since it uses less digits than its factorization.

102100121012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177161535 (or 2177161529 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102100121012112 its reverse (211210121001201), we get a palindrome (313310242013313).

The spelling of 102100121012112 in words is "one hundred two trillion, one hundred billion, one hundred twenty-one million, twelve thousand, one hundred twelve".