101001111100101 has 12 divisors (see below), whose sum is σ = 146705524505280. Its totient is φ = 66957906054120.

The previous prime is 101001111100063. The next prime is 101001111100151.

101001111100101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101001111100101 - 2¹¹ = 101001111098053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

101001111100101 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001111100151) 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, 31347332685 + ... + 31347335906.

It is an arithmetic number, because the mean of its divisors is an integer number (12225460375440).

Almost surely, 2^{101001111100101} is an apocalyptic number.

It is an amenable number.

101001111100101 is a deficient number, since it is larger than the sum of its proper divisors (45704413405179).

101001111100101 is a wasteful number, since it uses less digits than its factorization.

101001111100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62694668776 (or 62694668773 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

The spelling of 101001111100101 in words is "one hundred one trillion, one billion, one hundred eleven million, one hundred thousand, one hundred one".