10021102100 has 18 divisors (see below), whose sum is σ = 21745791774. Its totient is φ = 4008440800.

The previous prime is 10021102079. The next prime is 10021102109. The reversal of 10021102100 is 120112001.

It can be written as a sum of positive squares in 3 ways, for example, as 63457156 + 9957644944 = 7966^2 + 99788^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021102109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50105411 + ... + 50105610.

It is an arithmetic number, because the mean of its divisors is an integer number (1208099543).

Almost surely, 2^10021102100 is an apocalyptic number.

10021102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021102100 is an abundant number, since it is smaller than the sum of its proper divisors (11724689674).

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

10021102100 is a wasteful number, since it uses less digits than its factorization.

10021102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100211035 (or 100211028 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10021102100 its reverse (120112001), we get a palindrome (10141214101).

Subtracting from 10021102100 its reverse (120112001), we obtain a palindrome (9900990099).

The spelling of 10021102100 in words is "ten billion, twenty-one million, one hundred two thousand, one hundred".