1020102211100 has 72 divisors (see below), whose sum is σ = 2530422625920. Its totient is φ = 349670646720.

The previous prime is 1020102211069. The next prime is 1020102211151. The reversal of 1020102211100 is 11122010201.

1020102211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020102211100² (a number of 25 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 23 ways as a sum of consecutive naturals, for example, 2993231 + ... + 3316569.

Almost surely, 2^{1020102211100} is an apocalyptic number.

1020102211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020102211100 is an abundant number, since it is smaller than the sum of its proper divisors (1510320414820).

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

1020102211100 is a wasteful number, since it uses less digits than its factorization.

1020102211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327867 (or 327860 counting only the distinct ones).

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

Adding to 1020102211100 its reverse (11122010201), we get a palindrome (1031224221301).

The spelling of 1020102211100 in words is "one trillion, twenty billion, one hundred two million, two hundred eleven thousand, one hundred".