101111010001 has 8 divisors (see below), whose sum is σ = 103553068608. Its totient is φ = 98694258000.

The previous prime is 101111009999. The next prime is 101111010029. The reversal of 101111010001 is 100010111101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101111010001 - 2¹ = 101111009999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111010031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6318565 + ... + 6334546.

It is an arithmetic number, because the mean of its divisors is an integer number (12944133576).

Almost surely, 2^101111010001 is an apocalyptic number.

It is an amenable number.

101111010001 is a deficient number, since it is larger than the sum of its proper divisors (2442058607).

101111010001 is a wasteful number, since it uses less digits than its factorization.

101111010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12653303.

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

Adding to 101111010001 its reverse (100010111101), we get a palindrome (201121121102).

The spelling of 101111010001 in words is "one hundred one billion, one hundred eleven million, ten thousand, one".