1001012210120 has 32 divisors (see below), whose sum is σ = 2425529587320. Its totient is φ = 369604508160.

The previous prime is 1001012210083. The next prime is 1001012210123. The reversal of 1001012210120 is 210122101001.

It can be written as a sum of positive squares in 4 ways, for example, as 559656602404 + 441355607716 = 748102^2 + 664346^2 .

It is not an unprimeable number, because it can be changed into a prime (1001012210123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 962511221 + ... + 962512260.

Almost surely, 2^{1001012210120} is an apocalyptic number.

1001012210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001012210120 is an abundant number, since it is smaller than the sum of its proper divisors (1424517377200).

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

1001012210120 is a wasteful number, since it uses less digits than its factorization.

1001012210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925023505 (or 1925023501 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001012210120 its reverse (210122101001), we get a palindrome (1211134311121).

The spelling of 1001012210120 in words is "one trillion, one billion, twelve million, two hundred ten thousand, one hundred twenty".