100200401000 has 256 divisors, whose sum is σ = 277439385600. Its totient is φ = 33146496000.

The previous prime is 100200400973. The next prime is 100200401027. The reversal of 100200401000 is 104002001.

It is an interprime number because it is at equal distance from previous prime (100200400973) and next prime (100200401027).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120868586 + ... + 120869414.

It is an arithmetic number, because the mean of its divisors is an integer number (1083747600).

Almost surely, 2^100200401000 is an apocalyptic number.

100200401000 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 100200401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138719692800).

100200401000 is an abundant number, since it is smaller than the sum of its proper divisors (177238984600).

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

100200401000 is a wasteful number, since it uses less digits than its factorization.

100200401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1431 counting only the distinct ones).

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

Adding to 100200401000 its reverse (104002001), we get a palindrome (100304403001).

The spelling of 100200401000 in words is "one hundred billion, two hundred million, four hundred one thousand".