100010011000095 has 384 divisors, whose sum is σ = 222936831360000. Its totient is φ = 42255451865088.

The previous prime is 100010011000079. The next prime is 100010011000099. The reversal of 100010011000095 is 590000110010001.

It is not a de Polignac number, because 100010011000095 - 2⁴ = 100010011000079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010011000099) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6694551136 + ... + 6694566074.

It is an arithmetic number, because the mean of its divisors is an integer number (580564665000).

Almost surely, 2^{100010011000095} is an apocalyptic number.

100010011000095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100010011000095 is an abundant number, since it is smaller than the sum of its proper divisors (122926820359905).

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

100010011000095 is a wasteful number, since it uses less digits than its factorization.

100010011000095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16052 (or 16039 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 18.

Adding to 100010011000095 its reverse (590000110010001), we get a palindrome (690010121010096).

The spelling of 100010011000095 in words is "one hundred trillion, ten billion, eleven million, ninety-five", and thus it is an aban number.