100400033120022 has 32 divisors (see below), whose sum is σ = 223178205592800. Its totient is φ = 33456624574464.

The previous prime is 100400033120003. The next prime is 100400033120059. The reversal of 100400033120022 is 220021330004001.

100400033120022 is a `hidden beast` number, since 10 + 0 + 400 + 0 + 3 + 31 + 200 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100400033119977 and 100400033120004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279072243 + ... + 279431774.

It is an arithmetic number, because the mean of its divisors is an integer number (6974318924775).

Almost surely, 2^{100400033120022} is an apocalyptic number.

100400033120022 is an abundant number, since it is smaller than the sum of its proper divisors (122778172472778).

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

100400033120022 is a wasteful number, since it uses less digits than its factorization.

100400033120022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558507357 (or 558507351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100400033120022 its reverse (220021330004001), we get a palindrome (320421363124023).

The spelling of 100400033120022 in words is "one hundred trillion, four hundred billion, thirty-three million, one hundred twenty thousand, twenty-two".