100200102112000 has 288 divisors, whose sum is σ = 272336875259904. Its totient is φ = 36431853056000.

The previous prime is 100200102111997. The next prime is 100200102112003. The reversal of 100200102112000 is 211201002001.

It is an interprime number because it is at equal distance from previous prime (100200102111997) and next prime (100200102112003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100200102112003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4295444337 + ... + 4295467663.

It is an arithmetic number, because the mean of its divisors is an integer number (945614150208).

Almost surely, 2^{100200102112000} is an apocalyptic number.

100200102112000 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 100200102112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136168437629952).

100200102112000 is an abundant number, since it is smaller than the sum of its proper divisors (172136773147904).

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

100200102112000 is a wasteful number, since it uses less digits than its factorization.

100200102112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35572 (or 35548 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100200102112000 its reverse (211201002001), we get a palindrome (100411303114001).

The spelling of 100200102112000 in words is "one hundred trillion, two hundred billion, one hundred two million, one hundred twelve thousand".