101000010000111 has 32 divisors (see below), whose sum is σ = 139716030463488. Its totient is φ = 64846137110400.

The previous prime is 101000010000101. The next prime is 101000010000121. The reversal of 101000010000111 is 111000010000101.

It is an interprime number because it is at equal distance from previous prime (101000010000101) and next prime (101000010000121).

It is not a de Polignac number, because 101000010000111 - 2¹⁷ = 101000009869039 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000010000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000010000101) 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, 37569286 + ... + 40167788.

It is an arithmetic number, because the mean of its divisors is an integer number (4366125951984).

Almost surely, 2^{101000010000111} is an apocalyptic number.

101000010000111 is a deficient number, since it is larger than the sum of its proper divisors (38716020463377).

101000010000111 is a wasteful number, since it uses less digits than its factorization.

101000010000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602111.

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

Adding to 101000010000111 its reverse (111000010000101), we get a palindrome (212000020000212).

The spelling of 101000010000111 in words is "one hundred one trillion, ten million, one hundred eleven", and thus it is an aban number.