10400121000 has 96 divisors (see below), whose sum is σ = 35152439400. Its totient is φ = 2773363200.

The previous prime is 10400120993. The next prime is 10400121001. The reversal of 10400121000 is 12100401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5516627076 + 4883493924 = 74274^2 + 69882^2 .

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 (10400121001) 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, 568785 + ... + 586784.

Almost surely, 2^10400121000 is an apocalyptic number.

10400121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400121000 is an abundant number, since it is smaller than the sum of its proper divisors (24752318400).

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

10400121000 is a wasteful number, since it uses less digits than its factorization.

10400121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155596 (or 1155579 counting only the distinct ones).

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

Adding to 10400121000 its reverse (12100401), we get a palindrome (10412221401).

The spelling of 10400121000 in words is "ten billion, four hundred million, one hundred twenty-one thousand".