20020100102002 has 32 divisors (see below), whose sum is σ = 40320201608064. Its totient is φ = 7200036000000.

The previous prime is 20020100101927. The next prime is 20020100102027.

20020100102002 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 20020100102002.

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, 5000022999 + ... + 5000027002.

It is an arithmetic number, because the mean of its divisors is an integer number (1260006300252).

Almost surely, 2^{20020100102002} is an apocalyptic number.

20020100102002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20020100102002 is an abundant number, since it is smaller than the sum of its proper divisors (20300101506062).

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

20020100102002 is a wasteful number, since it uses less digits than its factorization.

20020100102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000050034.

The product of its (nonzero) digits is 16, while the sum is 10.

It can be divided in two parts, 20020100 and 102002, that added together give a palindrome (20122102).

The spelling of 20020100102002 in words is "twenty trillion, twenty billion, one hundred million, one hundred two thousand, two".