101211220100 has 36 divisors (see below), whose sum is σ = 219645970404. Its totient is φ = 40481239680.

The previous prime is 101211220087. The next prime is 101211220133. The reversal of 101211220100 is 1022112101.

It can be written as a sum of positive squares in 6 ways, for example, as 40454885956 + 60756334144 = 201134^2 + 246488^2 .

It is a super-2 number, since 2×101211220100² (a number of 23 digits) contains 22 as substring.

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, 1504382 + ... + 1570218.

Almost surely, 2^101211220100 is an apocalyptic number.

101211220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211220100 is an abundant number, since it is smaller than the sum of its proper divisors (118434750304).

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

101211220100 is a wasteful number, since it uses less digits than its factorization.

101211220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81224 (or 81217 counting only the distinct ones).

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

Adding to 101211220100 its reverse (1022112101), we get a palindrome (102233332201).

The spelling of 101211220100 in words is "one hundred one billion, two hundred eleven million, two hundred twenty thousand, one hundred".