100122665433012 has 36 divisors (see below), whose sum is σ = 259928060864836. Its totient is φ = 32472215815680.

The previous prime is 100122665433001. The next prime is 100122665433047. The reversal of 100122665433012 is 210334566221001.

100122665433012 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 266 + 54 + 330 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35365334159376 + 64757331273636 = 5946876^2 + 8047194^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37583581789 + ... + 37583584452.

Almost surely, 2^{100122665433012} is an apocalyptic number.

100122665433012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122665433012 is an abundant number, since it is smaller than the sum of its proper divisors (159805395431824).

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

100122665433012 is a wasteful number, since it uses less digits than its factorization.

100122665433012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75167166288 (or 75167166283 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 100122665433012 in words is "one hundred trillion, one hundred twenty-two billion, six hundred sixty-five million, four hundred thirty-three thousand, twelve".