213101322102 has 144 divisors (see below), whose sum is σ = 520480724400. Its totient is φ = 62797109760.

The previous prime is 213101322047. The next prime is 213101322127. The reversal of 213101322102 is 201223101312.

213101322102 is a `hidden beast` number, since 21 + 310 + 1 + 322 + 10 + 2 = 666.

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 71 ways as a sum of consecutive naturals, for example, 7403274 + ... + 7432002.

It is an arithmetic number, because the mean of its divisors is an integer number (3614449475).

Almost surely, 2^213101322102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213101322102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260240362200).

213101322102 is an abundant number, since it is smaller than the sum of its proper divisors (307379402298).

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

213101322102 is a wasteful number, since it uses less digits than its factorization.

213101322102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28843 (or 28817 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213101322102 its reverse (201223101312), we get a palindrome (414324423414).

The spelling of 213101322102 in words is "two hundred thirteen billion, one hundred one million, three hundred twenty-two thousand, one hundred two".