100010002122210 has 128 divisors (see below), whose sum is σ = 248908719571200. Its totient is φ = 25696347116544.

The previous prime is 100010002122179. The next prime is 100010002122211. The reversal of 100010002122210 is 12221200010001.

It is not an unprimeable number, because it can be changed into a prime (100010002122211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317790016 + ... + 318104564.

It is an arithmetic number, because the mean of its divisors is an integer number (1944599371650).

Almost surely, 2^{100010002122210} is an apocalyptic number.

100010002122210 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 100010002122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124454359785600).

100010002122210 is an abundant number, since it is smaller than the sum of its proper divisors (148898717448990).

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

100010002122210 is a wasteful number, since it uses less digits than its factorization.

100010002122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317380.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100010002122210 its reverse (12221200010001), we get a palindrome (112231202132211).

The spelling of 100010002122210 in words is "one hundred trillion, ten billion, two million, one hundred twenty-two thousand, two hundred ten".