100010011000101 has 48 divisors (see below), whose sum is σ = 149235629659200. Its totient is φ = 59337865585152.

The previous prime is 100010011000099. The next prime is 100010011000103. The reversal of 100010011000101 is 101000110010001.

It is an interprime number because it is at equal distance from previous prime (100010011000099) and next prime (100010011000103).

It is not a de Polignac number, because 100010011000101 - 2¹ = 100010011000099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100010011000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010011000103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19834240 + ... + 24360153.

It is an arithmetic number, because the mean of its divisors is an integer number (3109075617900).

Almost surely, 2^{100010011000101} is an apocalyptic number.

It is an amenable number.

100010011000101 is a deficient number, since it is larger than the sum of its proper divisors (49225618659099).

100010011000101 is a wasteful number, since it uses less digits than its factorization.

100010011000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44194518 (or 44194481 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100010011000101 its reverse (101000110010001), we get a palindrome (201010121010102).

The spelling of 100010011000101 in words is "one hundred trillion, ten billion, eleven million, one hundred one", and thus it is an aban number.