100121121000 has 96 divisors (see below), whose sum is σ = 338409419400. Its totient is φ = 26698963200.

The previous prime is 100121120993. The next prime is 100121121007. The reversal of 100121121000 is 121121001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100121120993) and next prime (100121121007).

It can be written as a sum of positive squares in 4 ways, for example, as 43464744324 + 56656376676 = 208482^2 + 238026^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100121121007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5553285 + ... + 5571284.

Almost surely, 2^100121121000 is an apocalyptic number.

100121121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121121000 is an abundant number, since it is smaller than the sum of its proper divisors (238288298400).

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

100121121000 is a wasteful number, since it uses less digits than its factorization.

100121121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11124596 (or 11124579 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100121121000 its reverse (121121001), we get a palindrome (100242242001).

Subtracting from 100121121000 its reverse (121121001), we obtain a palindrome (99999999999).

The spelling of 100121121000 in words is "one hundred billion, one hundred twenty-one million, one hundred twenty-one thousand".