102021112210212 has 144 divisors (see below), whose sum is σ = 278234826590448. Its totient is φ = 31333431951360.

The previous prime is 102021112210159. The next prime is 102021112210219. The reversal of 102021112210212 is 212012211120201.

102021112210212 is a `hidden beast` number, since 1 + 0 + 20 + 211 + 1 + 221 + 0 + 212 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13691302430976 + 88329809779236 = 3700176^2 + 9398394^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102021112210219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688359988 + ... + 688508180.

It is an arithmetic number, because the mean of its divisors is an integer number (1932186295767).

Almost surely, 2^{102021112210212} is an apocalyptic number.

102021112210212 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 102021112210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139117413295224).

102021112210212 is an abundant number, since it is smaller than the sum of its proper divisors (176213714380236).

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

102021112210212 is a wasteful number, since it uses less digits than its factorization.

102021112210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150910 (or 150905 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102021112210212 its reverse (212012211120201), we get a palindrome (314033323330413).

The spelling of 102021112210212 in words is "one hundred two trillion, twenty-one billion, one hundred twelve million, two hundred ten thousand, two hundred twelve".