101211120121100 has 72 divisors (see below), whose sum is σ = 242968892495616. Its totient is φ = 36285676840000.

The previous prime is 101211120121087. The next prime is 101211120121109. The reversal of 101211120121100 is 1121021112101.

101211120121100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (101211120121109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647880416 + ... + 648036615.

It is an arithmetic number, because the mean of its divisors is an integer number (3374567951328).

Almost surely, 2^{101211120121100} is an apocalyptic number.

101211120121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211120121100 is an abundant number, since it is smaller than the sum of its proper divisors (141757772374516).

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

101211120121100 is a wasteful number, since it uses less digits than its factorization.

101211120121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295917127 (or 1295917120 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101211120121100 its reverse (1121021112101), we get a palindrome (102332141233201).

The spelling of 101211120121100 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty million, one hundred twenty-one thousand, one hundred".