100122211222002 has 48 divisors (see below), whose sum is σ = 225841227782040. Its totient is φ = 32017996797696.

The previous prime is 100122211221961. The next prime is 100122211222043. The reversal of 100122211222002 is 200222112221001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100122211221961) and next prime (100122211222043).

It can be written as a sum of positive squares in 4 ways, for example, as 81311176287441 + 18811034934561 = 9017271^2 + 4337169^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 610762003 + ... + 610925910.

Almost surely, 2^{100122211222002} is an apocalyptic number.

100122211222002 is an abundant number, since it is smaller than the sum of its proper divisors (125719016560038).

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

100122211222002 is a wasteful number, since it uses less digits than its factorization.

100122211222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221688107 (or 1221688104 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100122211222002 its reverse (200222112221001), we get a palindrome (300344323443003).

The spelling of 100122211222002 in words is "one hundred trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, two".