101121221022100 has 36 divisors (see below), whose sum is σ = 220905754681500. Its totient is φ = 40177022037760.

The previous prime is 101121221022083. The next prime is 101121221022161. The reversal of 101121221022100 is 1220122121101.

101121221022100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1256255405584 + 99864965616516 = 1120828^2 + 9993246^2 .

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, 3393314665 + ... + 3393344464.

It is an arithmetic number, because the mean of its divisors is an integer number (6136270963375).

Almost surely, 2^{101121221022100} is an apocalyptic number.

101121221022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121221022100 is an abundant number, since it is smaller than the sum of its proper divisors (119784533659400).

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

101121221022100 is a wasteful number, since it uses less digits than its factorization.

101121221022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6786659292 (or 6786659285 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101121221022100 its reverse (1220122121101), we get a palindrome (102341343143201).

The spelling of 101121221022100 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-one million, twenty-two thousand, one hundred".