102213632112 has 80 divisors (see below), whose sum is σ = 278007980160. Its totient is φ = 32271181056.

The previous prime is 102213632111. The next prime is 102213632113. The reversal of 102213632112 is 211236312201.

It is an interprime number because it is at equal distance from previous prime (102213632111) and next prime (102213632113).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213632111) 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, 5976918 + ... + 5993994.

It is an arithmetic number, because the mean of its divisors is an integer number (3475099752).

Almost surely, 2^102213632112 is an apocalyptic number.

102213632112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102213632112 is an abundant number, since it is smaller than the sum of its proper divisors (175794348048).

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

102213632112 is a wasteful number, since it uses less digits than its factorization.

102213632112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23670 (or 23664 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102213632112 its reverse (211236312201), we get a palindrome (313449944313).

The spelling of 102213632112 in words is "one hundred two billion, two hundred thirteen million, six hundred thirty-two thousand, one hundred twelve".