102101210112 has 352 divisors, whose sum is σ = 318031090560. Its totient is φ = 28778168320.

The previous prime is 102101210089. The next prime is 102101210203. The reversal of 102101210112 is 211012101201.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51126298 + ... + 51128294.

Almost surely, 2^102101210112 is an apocalyptic number.

102101210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159015545280).

102101210112 is an abundant number, since it is smaller than the sum of its proper divisors (215929880448).

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

102101210112 is a wasteful number, since it uses less digits than its factorization.

102101210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102101210112 its reverse (211012101201), we get a palindrome (313113311313).

It can be divided in two parts, 102101 and 210112, that added together give a palindrome (312213).

The spelling of 102101210112 in words is "one hundred two billion, one hundred one million, two hundred ten thousand, one hundred twelve".