10021011102102 has 256 divisors, whose sum is σ = 28120926339072. Its totient is φ = 2294790981120.

The previous prime is 10021011102073. The next prime is 10021011102127. The reversal of 10021011102102 is 20120111012001.

10021011102102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 94295148 + ... + 94401360.

It is an arithmetic number, because the mean of its divisors is an integer number (109847368512).

Almost surely, 2^{10021011102102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021011102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14060463169536).

10021011102102 is an abundant number, since it is smaller than the sum of its proper divisors (18099915236970).

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

10021011102102 is a wasteful number, since it uses less digits than its factorization.

10021011102102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106955.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10021011102102 its reverse (20120111012001), we get a palindrome (30141122114103).

The spelling of 10021011102102 in words is "ten trillion, twenty-one billion, eleven million, one hundred two thousand, one hundred two".