10001042023120 has 40 divisors (see below), whose sum is σ = 23252689232640. Its totient is φ = 4000370954880.

The previous prime is 10001042023043. The next prime is 10001042023139. The reversal of 10001042023120 is 2132024010001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10001042023120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10001042023094 and 10001042023103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6795705 + ... + 8135335.

It is an arithmetic number, because the mean of its divisors is an integer number (581317230816).

Almost surely, 2^{10001042023120} is an apocalyptic number.

10001042023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001042023120 is an abundant number, since it is smaller than the sum of its proper divisors (13251647209520).

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

10001042023120 is a wasteful number, since it uses less digits than its factorization.

10001042023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432963 (or 1432957 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10001042023120 its reverse (2132024010001), we get a palindrome (12133066033121).

The spelling of 10001042023120 in words is "ten trillion, one billion, forty-two million, twenty-three thousand, one hundred twenty".