102012213330000 has 150 divisors (see below), whose sum is σ = 356751445427234. Its totient is φ = 27203256864000.

The previous prime is 102012213329981. The next prime is 102012213330011. The reversal of 102012213330000 is 33312210201.

102012213330000 is a `hidden beast` number, since 10 + 201 + 22 + 133 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 10592837752896 + 91419375577104 = 3254664^2 + 9561348^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 566644519 + ... + 566824518.

Almost surely, 2^{102012213330000} is an apocalyptic number.

102012213330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012213330000 is an abundant number, since it is smaller than the sum of its proper divisors (254739232097234).

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

102012213330000 is a wasteful number, since it uses less digits than its factorization.

102012213330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133469071 (or 1133469047 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102012213330000 its reverse (33312210201), we get a palindrome (102045525540201).

The spelling of 102012213330000 in words is "one hundred two trillion, twelve billion, two hundred thirteen million, three hundred thirty thousand".