100102140400 has 120 divisors (see below), whose sum is σ = 254776706640. Its totient is φ = 37665607680.

The previous prime is 100102140367. The next prime is 100102140403. The reversal of 100102140400 is 4041201001.

It is a super-2 number, since 2×100102140400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102140403) 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, 22158942 + ... + 22163458.

It is an arithmetic number, because the mean of its divisors is an integer number (2123139222).

Almost surely, 2^100102140400 is an apocalyptic number.

100102140400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127388353320).

100102140400 is an abundant number, since it is smaller than the sum of its proper divisors (154674566240).

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

100102140400 is a wasteful number, since it uses less digits than its factorization.

100102140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7811 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100102140400 its reverse (4041201001), we get a palindrome (104143341401).

The spelling of 100102140400 in words is "one hundred billion, one hundred two million, one hundred forty thousand, four hundred".