100121112210 has 128 divisors (see below), whose sum is σ = 284412985344. Its totient is φ = 22082296320.

The previous prime is 100121112193. The next prime is 100121112271. The reversal of 100121112210 is 12211121001.

It is a super-2 number, since 2×100121112210² (a number of 23 digits) contains 22 as substring.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 629334 + ... + 772206.

It is an arithmetic number, because the mean of its divisors is an integer number (2221976448).

Almost surely, 2^100121112210 is an apocalyptic number.

100121112210 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 100121112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142206492672).

100121112210 is an abundant number, since it is smaller than the sum of its proper divisors (184291873134).

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

100121112210 is a wasteful number, since it uses less digits than its factorization.

100121112210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143008.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100121112210 its reverse (12211121001), we get a palindrome (112332233211).

The spelling of 100121112210 in words is "one hundred billion, one hundred twenty-one million, one hundred twelve thousand, two hundred ten".