101120122100 has 36 divisors (see below), whose sum is σ = 219994838700. Its totient is φ = 40344053760.

The previous prime is 101120122087. The next prime is 101120122123. The reversal of 101120122100 is 1221021101.

It can be written as a sum of positive squares in 6 ways, for example, as 223681936 + 100896440164 = 14956^2 + 317642^2 .

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, 1260845 + ... + 1338644.

Almost surely, 2^101120122100 is an apocalyptic number.

101120122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120122100 is an abundant number, since it is smaller than the sum of its proper divisors (118874716600).

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

101120122100 is a wasteful number, since it uses less digits than its factorization.

101120122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599892 (or 2599885 counting only the distinct ones).

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

Adding to 101120122100 its reverse (1221021101), we get a palindrome (102341143201).

It can be divided in two parts, 1011201 and 22100, that added together give a palindrome (1033301).

The spelling of 101120122100 in words is "one hundred one billion, one hundred twenty million, one hundred twenty-two thousand, one hundred".