100022113000 has 32 divisors (see below), whose sum is σ = 234051746760. Its totient is φ = 40008844800.

The previous prime is 100022112997. The next prime is 100022113013. The reversal of 100022113000 is 311220001.

It can be written as a sum of positive squares in 4 ways, for example, as 16023002724 + 83999110276 = 126582^2 + 289826^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50010057 + ... + 50012056.

Almost surely, 2^100022113000 is an apocalyptic number.

100022113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022113000 is an abundant number, since it is smaller than the sum of its proper divisors (134029633760).

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

100022113000 is a wasteful number, since it uses less digits than its factorization.

100022113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100022134 (or 100022120 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100022113000 its reverse (311220001), we get a palindrome (100333333001).

The spelling of 100022113000 in words is "one hundred billion, twenty-two million, one hundred thirteen thousand".