102120022012100 has 36 divisors (see below), whose sum is σ = 221604461164548. Its totient is φ = 40847269008000.

The previous prime is 102120022012097. The next prime is 102120022012121. The reversal of 102120022012100 is 1210220021201.

It can be written as a sum of positive squares in 6 ways, for example, as 24638953024 + 102095383059076 = 156968^2 + 10104226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3681671 + ... + 14757870.

It is an arithmetic number, because the mean of its divisors is an integer number (6155679476793).

Almost surely, 2^{102120022012100} is an apocalyptic number.

102120022012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120022012100 is an abundant number, since it is smaller than the sum of its proper divisors (119484439152448).

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

102120022012100 is a wasteful number, since it uses less digits than its factorization.

102120022012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18494936 (or 18494929 counting only the distinct ones).

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

Adding to 102120022012100 its reverse (1210220021201), we get a palindrome (103330242033301).

The spelling of 102120022012100 in words is "one hundred two trillion, one hundred twenty billion, twenty-two million, twelve thousand, one hundred".