102010212220100 has 72 divisors (see below), whose sum is σ = 240529342636800. Its totient is φ = 37409517532800.

The previous prime is 102010212220097. The next prime is 102010212220117. The reversal of 102010212220100 is 1022212010201.

102010212220100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 865902155 + ... + 866019954.

It is an arithmetic number, because the mean of its divisors is an integer number (3340685314400).

Almost surely, 2^{102010212220100} is an apocalyptic number.

102010212220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010212220100 is an abundant number, since it is smaller than the sum of its proper divisors (138519130416700).

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

102010212220100 is a wasteful number, since it uses less digits than its factorization.

102010212220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731922173 (or 1731922166 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102010212220100 its reverse (1022212010201), we get a palindrome (103032424230301).

The spelling of 102010212220100 in words is "one hundred two trillion, ten billion, two hundred twelve million, two hundred twenty thousand, one hundred".