101002011000120 has 48 divisors (see below), whose sum is σ = 328256535751560. Its totient is φ = 26933869599936.

The previous prime is 101002011000119. The next prime is 101002011000127. The reversal of 101002011000120 is 21000110200101.

It is a happy number.

It is a super-2 number, since 2×101002011000120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002011000127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 140280570474 + ... + 140280571193.

Almost surely, 2^{101002011000120} is an apocalyptic number.

101002011000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002011000120 is an abundant number, since it is smaller than the sum of its proper divisors (227254524751440).

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

101002011000120 is a wasteful number, since it uses less digits than its factorization.

101002011000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280561141684 (or 280561141677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101002011000120 its reverse (21000110200101), we get a palindrome (122002121200221).

The spelling of 101002011000120 in words is "one hundred one trillion, two billion, eleven million, one hundred twenty", and thus it is an aban number.