102000110400 has 126 divisors (see below), whose sum is σ = 362532526902. Its totient is φ = 27200025600.

The previous prime is 102000110357. The next prime is 102000110497. The reversal of 102000110400 is 4011000201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3559792896 + 98440317504 = 59664^2 + 313752^2 .

It is a super-2 number, since 2×102000110400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3527271 + ... + 3556070.

It is an arithmetic number, because the mean of its divisors is an integer number (2877242277).

Almost surely, 2^102000110400 is an apocalyptic number.

102000110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000110400 is an abundant number, since it is smaller than the sum of its proper divisors (260532416502).

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

102000110400 is a wasteful number, since it uses less digits than its factorization.

102000110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7083369 (or 7083351 counting only the distinct ones).

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

Adding to 102000110400 its reverse (4011000201), we get a palindrome (106011110601).

The spelling of 102000110400 in words is "one hundred two billion, one hundred ten thousand, four hundred".