10402401101200 has 120 divisors (see below), whose sum is σ = 26417201155200. Its totient is φ = 3925468270080.

The previous prime is 10402401101179. The next prime is 10402401101201. The reversal of 10402401101200 is 210110420401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10402401101201) 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, 1047067 + ... + 4679866.

It is an arithmetic number, because the mean of its divisors is an integer number (220143342960).

Almost surely, 2^{10402401101200} is an apocalyptic number.

10402401101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10402401101200 is an abundant number, since it is smaller than the sum of its proper divisors (16014800054000).

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

10402401101200 is a wasteful number, since it uses less digits than its factorization.

10402401101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727209 (or 5727198 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10402401101200 its reverse (210110420401), we get a palindrome (10612511521601).

The spelling of 10402401101200 in words is "ten trillion, four hundred two billion, four hundred one million, one hundred one thousand, two hundred".