100212201011220 has 96 divisors (see below), whose sum is σ = 280916625225600. Its totient is φ = 26692545675264.

The previous prime is 100212201011203. The next prime is 100212201011233. The reversal of 100212201011220 is 22110102212001.

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 100212201011220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2270870116 + ... + 2270914244.

It is an arithmetic number, because the mean of its divisors is an integer number (2926214846100).

Almost surely, 2^{100212201011220} is an apocalyptic number.

100212201011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212201011220 is an abundant number, since it is smaller than the sum of its proper divisors (180704424214380).

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

100212201011220 is a wasteful number, since it uses less digits than its factorization.

100212201011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86777 (or 86775 counting only the distinct ones).

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

Adding to 100212201011220 its reverse (22110102212001), we get a palindrome (122322303223221).

The spelling of 100212201011220 in words is "one hundred trillion, two hundred twelve billion, two hundred one million, eleven thousand, two hundred twenty".