102101210102112 has 96 divisors (see below), whose sum is σ = 289871032939488. Its totient is φ = 31280925290496.

The previous prime is 102101210102039. The next prime is 102101210102113. The reversal of 102101210102112 is 211201012101201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 102101210102091 and 102101210102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101210102113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175271163 + ... + 175852730.

It is an arithmetic number, because the mean of its divisors is an integer number (3019489926453).

Almost surely, 2^{102101210102112} is an apocalyptic number.

102101210102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102101210102112 is an abundant number, since it is smaller than the sum of its proper divisors (187769822837376).

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

102101210102112 is a wasteful number, since it uses less digits than its factorization.

102101210102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351124152 (or 351124144 counting only the distinct ones).

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

Adding to 102101210102112 its reverse (211201012101201), we get a palindrome (313302222203313).

The spelling of 102101210102112 in words is "one hundred two trillion, one hundred one billion, two hundred ten million, one hundred two thousand, one hundred twelve".