100102101011000 has 768 divisors, whose sum is σ = 280539075922560. Its totient is φ = 33276672000000.

The previous prime is 100102101010999. The next prime is 100102101011069. The reversal of 100102101011000 is 110101201001.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 11011116455 + ... + 11011125545.

Almost surely, 2^{100102101011000} is an apocalyptic number.

100102101011000 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 100102101011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140269537961280).

100102101011000 is an abundant number, since it is smaller than the sum of its proper divisors (180436974911560).

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

100102101011000 is a wasteful number, since it uses less digits than its factorization.

100102101011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9305 (or 9280 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100102101011000 its reverse (110101201001), we get a palindrome (100212202212001).

The spelling of 100102101011000 in words is "one hundred trillion, one hundred two billion, one hundred one million, eleven thousand".