101111011010001 has 96 divisors (see below), whose sum is σ = 152166310732800. Its totient is φ = 64655170444800.

The previous prime is 101111011009889. The next prime is 101111011010003. The reversal of 101111011010001 is 100010110111101.

It is not a de Polignac number, because 101111011010001 - 2¹¹ = 101111011007953 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101111011010003) 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, 11623286950 + ... + 11623295648.

It is an arithmetic number, because the mean of its divisors is an integer number (1585065736800).

Almost surely, 2^{101111011010001} is an apocalyptic number.

It is an amenable number.

101111011010001 is a deficient number, since it is larger than the sum of its proper divisors (51055299722799).

101111011010001 is a wasteful number, since it uses less digits than its factorization.

101111011010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11207 (or 11204 counting only the distinct ones).

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

Adding to 101111011010001 its reverse (100010110111101), we get a palindrome (201121121121102).

The spelling of 101111011010001 in words is "one hundred one trillion, one hundred eleven billion, eleven million, ten thousand, one".