101121021122100 has 72 divisors (see below), whose sum is σ = 334373509850688. Its totient is φ = 23113376256000.

The previous prime is 101121021122063. The next prime is 101121021122117. The reversal of 101121021122100 is 1221120121101.

It is a happy number.

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 101121021122100.

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, 24076431501 + ... + 24076435700.

It is an arithmetic number, because the mean of its divisors is an integer number (4644076525704).

Almost surely, 2^{101121021122100} is an apocalyptic number.

101121021122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121021122100 is an abundant number, since it is smaller than the sum of its proper divisors (233252488728588).

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

101121021122100 is a wasteful number, since it uses less digits than its factorization.

101121021122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48152867225 (or 48152867218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121021122100 its reverse (1221120121101), we get a palindrome (102342141243201).

The spelling of 101121021122100 in words is "one hundred one trillion, one hundred twenty-one billion, twenty-one million, one hundred twenty-two thousand, one hundred".