101211020112100 has 72 divisors (see below), whose sum is σ = 220709774885600. Its totient is φ = 40285057881600.

The previous prime is 101211020112073. The next prime is 101211020112113. The reversal of 101211020112100 is 1211020112101.

It is a happy 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, 113898316 + ... + 114783484.

Almost surely, 2^{101211020112100} is an apocalyptic number.

101211020112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211020112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110354887442800).

101211020112100 is an abundant number, since it is smaller than the sum of its proper divisors (119498754773500).

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

101211020112100 is a wasteful number, since it uses less digits than its factorization.

101211020112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890813 (or 890806 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101211020112100 its reverse (1211020112101), we get a palindrome (102422040224201).

Subtracting from 101211020112100 its reverse (1211020112101), we obtain a palindrome (99999999999999).

The spelling of 101211020112100 in words is "one hundred one trillion, two hundred eleven billion, twenty million, one hundred twelve thousand, one hundred".