100212122211222 has 128 divisors (see below), whose sum is σ = 233845453522944. Its totient is φ = 28039233051648.

The previous prime is 100212122211211. The next prime is 100212122211263. The reversal of 100212122211222 is 222112221212001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 657945708 + ... + 658098000.

It is an arithmetic number, because the mean of its divisors is an integer number (1826917605648).

Almost surely, 2^{100212122211222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212122211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116922726761472).

100212122211222 is an abundant number, since it is smaller than the sum of its proper divisors (133633331311722).

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

100212122211222 is a wasteful number, since it uses less digits than its factorization.

100212122211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153902.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 100212122211222 its reverse (222112221212001), we get a palindrome (322324343423223).

The spelling of 100212122211222 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty-two".