100212112221100 has 72 divisors (see below), whose sum is σ = 242746363113408. Its totient is φ = 35593308340800.

The previous prime is 100212112221073. The next prime is 100212112221233. The reversal of 100212112221100 is 1122211212001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059277354 + ... + 1059371953.

It is an arithmetic number, because the mean of its divisors is an integer number (3371477265464).

Almost surely, 2^{100212112221100} is an apocalyptic number.

100212112221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212112221100 is an abundant number, since it is smaller than the sum of its proper divisors (142534250892308).

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

100212112221100 is a wasteful number, since it uses less digits than its factorization.

100212112221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118649375 (or 2118649368 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100212112221100 its reverse (1122211212001), we get a palindrome (101334323433101).

The spelling of 100212112221100 in words is "one hundred trillion, two hundred twelve billion, one hundred twelve million, two hundred twenty-one thousand, one hundred".