101001000010111 has 12 divisors (see below), whose sum is σ = 101591965636000. Its totient is φ = 100413452589120.

The previous prime is 101001000010091. The next prime is 101001000010159. The reversal of 101001000010111 is 111010000100101.

It is a happy number.

It is not a de Polignac number, because 101001000010111 - 2¹¹ = 101001000008063 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001000010094 and 101001000010103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001000010411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1174400890 + ... + 1174486888.

Almost surely, 2^{101001000010111} is an apocalyptic number.

101001000010111 is a deficient number, since it is larger than the sum of its proper divisors (590965625889).

101001000010111 is an frugal number, since it uses more digits than its factorization.

101001000010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125586 (or 125413 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101001000010111 its reverse (111010000100101), we get a palindrome (212011000110212).

The spelling of 101001000010111 in words is "one hundred one trillion, one billion, ten thousand, one hundred eleven".