101120202122100 has 72 divisors (see below), whose sum is σ = 334370801690688. Its totient is φ = 23113189056000.

The previous prime is 101120202121987. The next prime is 101120202122117. The reversal of 101120202122100 is 1221202021101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101120202122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24076236501 + ... + 24076240700.

Almost surely, 2^{101120202122100} is an apocalyptic number.

101120202122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120202122100 is an abundant number, since it is smaller than the sum of its proper divisors (233250599568588).

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

101120202122100 is a wasteful number, since it uses less digits than its factorization.

101120202122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48152477225 (or 48152477218 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101120202122100 its reverse (1221202021101), we get a palindrome (102341404143201).

The spelling of 101120202122100 in words is "one hundred one trillion, one hundred twenty billion, two hundred two million, one hundred twenty-two thousand, one hundred".