101121210100 has 36 divisors (see below), whose sum is σ = 221605652268. Its totient is φ = 40048000000.

The previous prime is 101121210037. The next prime is 101121210277. The reversal of 101121210100 is 1012121101.

It can be written as a sum of positive squares in 6 ways, for example, as 7743296016 + 93377914084 = 87996^2 + 305578^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 4995901 + ... + 5016100.

It is an arithmetic number, because the mean of its divisors is an integer number (6155712563).

Almost surely, 2^101121210100 is an apocalyptic number.

101121210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121210100 is an abundant number, since it is smaller than the sum of its proper divisors (120484442168).

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

101121210100 is a wasteful number, since it uses less digits than its factorization.

101121210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10012116 (or 10012109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101121210100 its reverse (1012121101), we get a palindrome (102133331201).

The spelling of 101121210100 in words is "one hundred one billion, one hundred twenty-one million, two hundred ten thousand, one hundred".