100212210101120 has 256 divisors, whose sum is σ = 258372626964480. Its totient is φ = 36947788308480.

The previous prime is 100212210101063. The next prime is 100212210101327. The reversal of 100212210101120 is 21101012212001.

It is a junction number, because it is equal to n+sod(n) for n = 100212210101095 and 100212210101104.

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 31 ways as a sum of consecutive naturals, for example, 23463404585 + ... + 23463408855.

It is an arithmetic number, because the mean of its divisors is an integer number (1009268074080).

Almost surely, 2^{100212210101120} is an apocalyptic number.

100212210101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212210101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129186313482240).

100212210101120 is an abundant number, since it is smaller than the sum of its proper divisors (158160416863360).

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

100212210101120 is a wasteful number, since it uses less digits than its factorization.

100212210101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7733 (or 7721 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100212210101120 its reverse (21101012212001), we get a palindrome (121313222313121).

The spelling of 100212210101120 in words is "one hundred trillion, two hundred twelve billion, two hundred ten million, one hundred one thousand, one hundred twenty".