101121021011200 has 108 divisors (see below), whose sum is σ = 265013287868700. Its totient is φ = 38069090222080.

The previous prime is 101121021011177. The next prime is 101121021011201. The reversal of 101121021011200 is 2110120121101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13119811248384 + 88001209762816 = 3622128^2 + 9380896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121021011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464601775 + ... + 464819374.

It is an arithmetic number, because the mean of its divisors is an integer number (2453826739525).

Almost surely, 2^{101121021011200} is an apocalyptic number.

101121021011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121021011200 is an abundant number, since it is smaller than the sum of its proper divisors (163892266857500).

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

101121021011200 is an equidigital number, since it uses as much as digits as its factorization.

101121021011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929421192 (or 929421173 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101121021011200 its reverse (2110120121101), we get a palindrome (103231141132301).

The spelling of 101121021011200 in words is "one hundred one trillion, one hundred twenty-one billion, twenty-one million, eleven thousand, two hundred".