10400101200 has 90 divisors (see below), whose sum is σ = 36091252574. Its totient is φ = 2773359360.

The previous prime is 10400101189. The next prime is 10400101207. The reversal of 10400101200 is 210100401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 176464656 + 10223636544 = 13284^2 + 101112^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400101207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1440859 + ... + 1448058.

Almost surely, 2^10400101200 is an apocalyptic number.

10400101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400101200 is an abundant number, since it is smaller than the sum of its proper divisors (25691151374).

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

10400101200 is a wasteful number, since it uses less digits than its factorization.

10400101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888941 (or 2888927 counting only the distinct ones).

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

Adding to 10400101200 its reverse (210100401), we get a palindrome (10610201601).

The spelling of 10400101200 in words is "ten billion, four hundred million, one hundred one thousand, two hundred".