101011121020000 has 60 divisors (see below), whose sum is σ = 248502509426556. Its totient is φ = 40404448400000.

The previous prime is 101011121019989. The next prime is 101011121020027. The reversal of 101011121020000 is 20121110101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2525258026 + ... + 2525298025.

Almost surely, 2^{101011121020000} is an apocalyptic number.

101011121020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011121020000 is an abundant number, since it is smaller than the sum of its proper divisors (147491388406556).

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

101011121020000 is an frugal number, since it uses more digits than its factorization.

101011121020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050556081 (or 5050556058 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101011121020000 its reverse (20121110101), we get a palindrome (101031242130101).

The spelling of 101011121020000 in words is "one hundred one trillion, eleven billion, one hundred twenty-one million, twenty thousand".