1001021112120 has 64 divisors (see below), whose sum is σ = 3032796673440. Its totient is φ = 264296000000.

The previous prime is 1001021112109. The next prime is 1001021112131. The reversal of 1001021112120 is 212111201001.

1001021112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1001021112109) and next prime (1001021112131).

It is a super-2 number, since 2×1001021112120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001021112096 and 1001021112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41284131 + ... + 41308370.

Almost surely, 2^{1001021112120} is an apocalyptic number.

1001021112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001021112120 is an abundant number, since it is smaller than the sum of its proper divisors (2031775561320).

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

1001021112120 is a wasteful number, since it uses less digits than its factorization.

1001021112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82592616 (or 82592612 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001021112120 its reverse (212111201001), we get a palindrome (1213132313121).

The spelling of 1001021112120 in words is "one trillion, one billion, twenty-one million, one hundred twelve thousand, one hundred twenty".