100212112100220 has 48 divisors (see below), whose sum is σ = 285349742939520. Its totient is φ = 26270293792576.

The previous prime is 100212112100213. The next prime is 100212112100251. The reversal of 100212112100220 is 22001211212001.

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 100212112100220.

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 15 ways as a sum of consecutive naturals, for example, 14154249582 + ... + 14154256661.

It is an arithmetic number, because the mean of its divisors is an integer number (5944786311240).

Almost surely, 2^{100212112100220} is an apocalyptic number.

100212112100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212112100220 is an abundant number, since it is smaller than the sum of its proper divisors (185137630839300).

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

100212112100220 is a wasteful number, since it uses less digits than its factorization.

100212112100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28308506314 (or 28308506312 counting only the distinct ones).

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

Adding to 100212112100220 its reverse (22001211212001), we get a palindrome (122213323312221).

The spelling of 100212112100220 in words is "one hundred trillion, two hundred twelve billion, one hundred twelve million, one hundred thousand, two hundred twenty".