100022121000 has 160 divisors (see below), whose sum is σ = 349633163880. Its totient is φ = 26672544000.

The previous prime is 100022120981. The next prime is 100022121013. The reversal of 100022121000 is 121220001.

It can be written as a sum of positive squares in 4 ways, for example, as 5491699236 + 94530421764 = 74106^2 + 307458^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 536421 + ... + 698420.

Almost surely, 2^100022121000 is an apocalyptic number.

100022121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022121000 is an abundant number, since it is smaller than the sum of its proper divisors (249611042880).

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

100022121000 is a wasteful number, since it uses less digits than its factorization.

100022121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234874 (or 1234851 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100022121000 its reverse (121220001), we get a palindrome (100143341001).

Subtracting from 100022121000 its reverse (121220001), we obtain a palindrome (99900900999).

The spelling of 100022121000 in words is "one hundred billion, twenty-two million, one hundred twenty-one thousand".