101021022102100 has 36 divisors (see below), whose sum is σ = 219391131137500. Its totient is φ = 40376056181760.

The previous prime is 101021022102097. The next prime is 101021022102113. The reversal of 101021022102100 is 1201220120101.

It can be written as a sum of positive squares in 6 ways, for example, as 1146342814276 + 99874679287824 = 1070674^2 + 9993732^2 .

It is a congruent number.

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, 404282715 + ... + 404532514.

Almost surely, 2^{101021022102100} is an apocalyptic number.

101021022102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021022102100 is an abundant number, since it is smaller than the sum of its proper divisors (118370109035400).

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

101021022102100 is a wasteful number, since it uses less digits than its factorization.

101021022102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808816492 (or 808816485 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101021022102100 its reverse (1201220120101), we get a palindrome (102222242222201).

The spelling of 101021022102100 in words is "one hundred one trillion, twenty-one billion, twenty-two million, one hundred two thousand, one hundred".