101000000100111 has 96 divisors (see below), whose sum is σ = 161755602160320. Its totient is φ = 55873182081024.

The previous prime is 101000000100049. The next prime is 101000000100127. The reversal of 101000000100111 is 111001000000101.

It is not a de Polignac number, because 101000000100111 - 2¹³ = 101000000091919 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000000100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000000101111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130457125 + ... + 131229041.

It is an arithmetic number, because the mean of its divisors is an integer number (1684954189170).

Almost surely, 2^{101000000100111} is an apocalyptic number.

101000000100111 is a deficient number, since it is larger than the sum of its proper divisors (60755602060209).

101000000100111 is a wasteful number, since it uses less digits than its factorization.

101000000100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772233 (or 772226 counting only the distinct ones).

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

Adding to 101000000100111 its reverse (111001000000101), we get a palindrome (212001000100212).

The spelling of 101000000100111 in words is "one hundred one trillion, one hundred thousand, one hundred eleven".