10211202312102 has 128 divisors (see below), whose sum is σ = 24941855923200. Its totient is φ = 3070887724800.

The previous prime is 10211202312083. The next prime is 10211202312119. The reversal of 10211202312102 is 20121320211201.

10211202312102 is a `hidden beast` number, since 10 + 211 + 2 + 0 + 231 + 210 + 2 = 666.

10211202312102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344132727 + ... + 344162397.

It is an arithmetic number, because the mean of its divisors is an integer number (194858249400).

Almost surely, 2^{10211202312102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211202312102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12470927961600).

10211202312102 is an abundant number, since it is smaller than the sum of its proper divisors (14730653611098).

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

10211202312102 is a wasteful number, since it uses less digits than its factorization.

10211202312102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34059 (or 34053 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10211202312102 its reverse (20121320211201), we get a palindrome (30332522523303).

The spelling of 10211202312102 in words is "ten trillion, two hundred eleven billion, two hundred two million, three hundred twelve thousand, one hundred two".