10020211202001 has 512 divisors, whose sum is σ = 20091898036224. Its totient is φ = 4269957120000.

The previous prime is 10020211201939. The next prime is 10020211202017.

10020211202001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10020211202001 - 2¹⁰ = 10020211200977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10020211202041) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 10111211616 + ... + 10111212606.

It is an arithmetic number, because the mean of its divisors is an integer number (39241988352).

Almost surely, 2^{10020211202001} is an apocalyptic number.

10020211202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10020211202001 is an abundant number, since it is smaller than the sum of its proper divisors (10071686834223).

10020211202001 is a wasteful number, since it uses less digits than its factorization.

10020211202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1002021 and 1202001, that added together give a palindrome (2204022).

The spelling of 10020211202001 in words is "ten trillion, twenty billion, two hundred eleven million, two hundred two thousand, one".