10400213121 has 16 divisors (see below), whose sum is σ = 14006254080. Its totient is φ = 6864168960.

The previous prime is 10400213101. The next prime is 10400213143. The reversal of 10400213121 is 12131200401.

It is not a de Polignac number, because 10400213121 - 2²⁵ = 10366658689 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10400213121.

It is not an unprimeable number, because it can be changed into a prime (10400213101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78145 + ... + 164033.

It is an arithmetic number, because the mean of its divisors is an integer number (875390880).

Almost surely, 2^10400213121 is an apocalyptic number.

It is an amenable number.

10400213121 is a deficient number, since it is larger than the sum of its proper divisors (3606040959).

10400213121 is a wasteful number, since it uses less digits than its factorization.

10400213121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86296.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10400213121 its reverse (12131200401), we get a palindrome (22531413522).

The spelling of 10400213121 in words is "ten billion, four hundred million, two hundred thirteen thousand, one hundred twenty-one".