20102002112010 has 256 divisors, whose sum is σ = 60517236326400. Its totient is φ = 4160544030720.

The previous prime is 20102002111993. The next prime is 20102002112051. The reversal of 20102002112010 is 1021120020102.

It is a super-2 number, since 2×20102002112010² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38311594 + ... + 38832746.

It is an arithmetic number, because the mean of its divisors is an integer number (236395454400).

Almost surely, 2^{20102002112010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102002112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30258618163200).

20102002112010 is an abundant number, since it is smaller than the sum of its proper divisors (40415234214390).

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

20102002112010 is a wasteful number, since it uses less digits than its factorization.

20102002112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521453.

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

Adding to 20102002112010 its reverse (1021120020102), we get a palindrome (21123122132112).

The spelling of 20102002112010 in words is "twenty trillion, one hundred two billion, two million, one hundred twelve thousand, ten".