101201221100 has 36 divisors (see below), whose sum is σ = 250979030064. Its totient is φ = 34697561280.

The previous prime is 101201221049. The next prime is 101201221103. The reversal of 101201221100 is 1122102101.

It is not an unprimeable number, because it can be changed into a prime (101201221103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72285887 + ... + 72287286.

It is an arithmetic number, because the mean of its divisors is an integer number (6971639724).

Almost surely, 2^101201221100 is an apocalyptic number.

101201221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201221100 is an abundant number, since it is smaller than the sum of its proper divisors (149777808964).

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

101201221100 is a wasteful number, since it uses less digits than its factorization.

101201221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144573194 (or 144573187 counting only the distinct ones).

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

Adding to 101201221100 its reverse (1122102101), we get a palindrome (102323323201).

The spelling of 101201221100 in words is "one hundred one billion, two hundred one million, two hundred twenty-one thousand, one hundred".