101220211100 has 72 divisors (see below), whose sum is σ = 227038051968. Its totient is φ = 39129350400.

The previous prime is 101220211091. The next prime is 101220211121. The reversal of 101220211100 is 1112022101.

It is a super-2 number, since 2×101220211100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2325134 + ... + 2368266.

Almost surely, 2^101220211100 is an apocalyptic number.

101220211100 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 101220211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113519025984).

101220211100 is an abundant number, since it is smaller than the sum of its proper divisors (125817840868).

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

101220211100 is a wasteful number, since it uses less digits than its factorization.

101220211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43935 (or 43928 counting only the distinct ones).

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

Adding to 101220211100 its reverse (1112022101), we get a palindrome (102332233201).

The spelling of 101220211100 in words is "one hundred one billion, two hundred twenty million, two hundred eleven thousand, one hundred".