100200038400 has 1080 divisors, whose sum is σ = 448762152384. Its totient is φ = 20761804800.

The previous prime is 100200038321. The next prime is 100200038473. The reversal of 100200038400 is 4830002001.

It is a happy number.

It is a super-2 number, since 2×100200038400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 283852624 + ... + 283852976.

Almost surely, 2^100200038400 is an apocalyptic number.

100200038400 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 100200038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224381076192).

100200038400 is an abundant number, since it is smaller than the sum of its proper divisors (348562113984).

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

100200038400 is a wasteful number, since it uses less digits than its factorization.

100200038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

It can be divided in two parts, 1002000 and 38400, that added together give a square (1040400 = 1020²).

The spelling of 100200038400 in words is "one hundred billion, two hundred million, thirty-eight thousand, four hundred".