101220211012100 has 18 divisors (see below), whose sum is σ = 219647857896474. Its totient is φ = 40488084404800.

The previous prime is 101220211012099. The next prime is 101220211012121. The reversal of 101220211012100 is 1210112022101.

It can be written as a sum of positive squares in 3 ways, for example, as 5046923999296 + 96173287012804 = 2246536^2 + 9806798^2 .

It is a super-2 number, since 2×101220211012100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506101054961 + ... + 506101055160.

Almost surely, 2^{101220211012100} is an apocalyptic number.

101220211012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220211012100 is an abundant number, since it is smaller than the sum of its proper divisors (118427646884374).

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

101220211012100 is a wasteful number, since it uses less digits than its factorization.

101220211012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012202110135 (or 1012202110128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101220211012100 its reverse (1210112022101), we get a palindrome (102430323034201).

The spelling of 101220211012100 in words is "one hundred one trillion, two hundred twenty billion, two hundred eleven million, twelve thousand, one hundred".