100210210222110 has 128 divisors (see below), whose sum is σ = 247737088811520. Its totient is φ = 25933213862400.

The previous prime is 100210210222099. The next prime is 100210210222123. The reversal of 100210210222110 is 11222012012001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100210210222110.

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, 40265161 + ... + 42681419.

It is an arithmetic number, because the mean of its divisors is an integer number (1935446006340).

Almost surely, 2^{100210210222110} is an apocalyptic number.

100210210222110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100210210222110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123868544405760).

100210210222110 is an abundant number, since it is smaller than the sum of its proper divisors (147526878589410).

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

100210210222110 is a wasteful number, since it uses less digits than its factorization.

100210210222110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416634.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100210210222110 its reverse (11222012012001), we get a palindrome (111432222234111).

The spelling of 100210210222110 in words is "one hundred trillion, two hundred ten billion, two hundred ten million, two hundred twenty-two thousand, one hundred ten".