100133002001000 has 32 divisors (see below), whose sum is σ = 234311224684680. Its totient is φ = 40053200800000.

The previous prime is 100133002000979. The next prime is 100133002001009. The reversal of 100133002001000 is 100200331001.

It can be written as a sum of positive squares in 4 ways, for example, as 59956495812964 + 40176506188036 = 7743158^2 + 6338494^2 .

It is not an unprimeable number, because it can be changed into a prime (100133002001009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50066500001 + ... + 50066502000.

Almost surely, 2^{100133002001000} is an apocalyptic number.

100133002001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133002001000 is an abundant number, since it is smaller than the sum of its proper divisors (134178222683680).

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

100133002001000 is a wasteful number, since it uses less digits than its factorization.

100133002001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100133002022 (or 100133002008 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100133002001000 its reverse (100200331001), we get a palindrome (100233202332001).

The spelling of 100133002001000 in words is "one hundred trillion, one hundred thirty-three billion, two million, one thousand".