1020120102001 has 32 divisors (see below), whose sum is σ = 1370286489600. Its totient is φ = 733423394880.

The previous prime is 1020120101993. The next prime is 1020120102011. The reversal of 1020120102001 is 1002010210201.

It is not a de Polignac number, because 1020120102001 - 2³ = 1020120101993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020120102011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2013660 + ... + 2468818.

It is an arithmetic number, because the mean of its divisors is an integer number (42821452800).

Almost surely, 2^{1020120102001} is an apocalyptic number.

1020120102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020120102001 is a deficient number, since it is larger than the sum of its proper divisors (350166387599).

1020120102001 is a wasteful number, since it uses less digits than its factorization.

1020120102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457429.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020120102001 its reverse (1002010210201), we get a palindrome (2022130312202).

The spelling of 1020120102001 in words is "one trillion, twenty billion, one hundred twenty million, one hundred two thousand, one".