101001001000120 has 32 divisors (see below), whose sum is σ = 244733194732320. Its totient is φ = 37292677292160.

The previous prime is 101001001000117. The next prime is 101001001000147. The reversal of 101001001000120 is 21000100100101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97116346596 + ... + 97116347635.

It is an arithmetic number, because the mean of its divisors is an integer number (7647912335385).

Almost surely, 2^{101001001000120} is an apocalyptic number.

101001001000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001001000120 is an abundant number, since it is smaller than the sum of its proper divisors (143732193732200).

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

101001001000120 is a wasteful number, since it uses less digits than its factorization.

101001001000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194232694255 (or 194232694251 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101001001000120 its reverse (21000100100101), we get a palindrome (122001101100221).

The spelling of 101001001000120 in words is "one hundred one trillion, one billion, one million, one hundred twenty", and thus it is an aban number.