102211010102000 has 80 divisors (see below), whose sum is σ = 247148546709792. Its totient is φ = 40884019545600.

The previous prime is 102211010101979. The next prime is 102211010102039. The reversal of 102211010102000 is 201010112201.

102211010102000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102211010102000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317445092 + ... + 317766908.

Almost surely, 2^{102211010102000} is an apocalyptic number.

102211010102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211010102000 is an abundant number, since it is smaller than the sum of its proper divisors (144937536607792).

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

102211010102000 is a wasteful number, since it uses less digits than its factorization.

102211010102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480643 (or 480627 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102211010102000 its reverse (201010112201), we get a palindrome (102412020214201).

The spelling of 102211010102000 in words is "one hundred two trillion, two hundred eleven billion, ten million, one hundred two thousand".