10012102101020 has 96 divisors (see below), whose sum is σ = 21906517651200. Its totient is φ = 3840371724800.

The previous prime is 10012102101019. The next prime is 10012102101049. The reversal of 10012102101020 is 2010120121001.

It is a junction number, because it is equal to n+sod(n) for n = 10012102100992 and 10012102101010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490514615 + ... + 490535025.

It is an arithmetic number, because the mean of its divisors is an integer number (228192892200).

Almost surely, 2^{10012102101020} is an apocalyptic number.

10012102101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012102101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10953258825600).

10012102101020 is an abundant number, since it is smaller than the sum of its proper divisors (11894415550180).

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

10012102101020 is a wasteful number, since it uses less digits than its factorization.

10012102101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30659 (or 30657 counting only the distinct ones).

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

Adding to 10012102101020 its reverse (2010120121001), we get a palindrome (12022222222021).

The spelling of 10012102101020 in words is "ten trillion, twelve billion, one hundred two million, one hundred one thousand, twenty".