100100102102000 has 640 divisors, whose sum is σ = 325071962062848. Its totient is φ = 28791839232000.

The previous prime is 100100102101991. The next prime is 100100102102041. The reversal of 100100102102000 is 201201001001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12746730074 + ... + 12746737926.

Almost surely, 2^{100100102102000} is an apocalyptic number.

100100102102000 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 100100102102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162535981031424).

100100102102000 is an abundant number, since it is smaller than the sum of its proper divisors (224971859960848).

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

100100102102000 is a wasteful number, since it uses less digits than its factorization.

100100102102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14274 (or 14258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100100102102000 its reverse (201201001001), we get a palindrome (100301303103001).

The spelling of 100100102102000 in words is "one hundred trillion, one hundred billion, one hundred two million, one hundred two thousand".