10020002122100 has 72 divisors (see below), whose sum is σ = 22070945702400. Its totient is φ = 3947865667200.

The previous prime is 10020002122043. The next prime is 10020002122127. The reversal of 10020002122100 is 122120002001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1819541 + ... + 4832259.

Almost surely, 2^{10020002122100} is an apocalyptic number.

10020002122100 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 10020002122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11035472851200).

10020002122100 is an abundant number, since it is smaller than the sum of its proper divisors (12050943580300).

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

10020002122100 is a wasteful number, since it uses less digits than its factorization.

10020002122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013233 (or 3013226 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10020002122100 its reverse (122120002001), we get a palindrome (10142122124101).

The spelling of 10020002122100 in words is "ten trillion, twenty billion, two million, one hundred twenty-two thousand, one hundred".