100210110102 has 48 divisors (see below), whose sum is σ = 225040589280. Its totient is φ = 32189539200.

The previous prime is 100210110079. The next prime is 100210110127. The reversal of 100210110102 is 201011012001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 87727 + ... + 456197.

It is an arithmetic number, because the mean of its divisors is an integer number (4688345610).

Almost surely, 2^100210110102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100210110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112520294640).

100210110102 is an abundant number, since it is smaller than the sum of its proper divisors (124830479178).

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

100210110102 is a wasteful number, since it uses less digits than its factorization.

100210110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369029 (or 369026 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100210110102 its reverse (201011012001), we get a palindrome (301221122103).

The spelling of 100210110102 in words is "one hundred billion, two hundred ten million, one hundred ten thousand, one hundred two".