101101111201001 has 4 divisors (see below), whose sum is σ = 101101228002900. Its totient is φ = 101100994399104.

The previous prime is 101101111200961. The next prime is 101101111201009. The reversal of 101101111201001 is 100102111101101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 84570186402025 + 16530924798976 = 9196205^2 + 4065824^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101111201001 - 2³⁸ = 100826233294057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101111201009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57092816 + ... + 58836993.

It is an arithmetic number, because the mean of its divisors is an integer number (25275307000725).

Almost surely, 2^{101101111201001} is an apocalyptic number.

It is an amenable number.

101101111201001 is a deficient number, since it is larger than the sum of its proper divisors (116801899).

101101111201001 is an equidigital number, since it uses as much as digits as its factorization.

101101111201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116801898.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101101111201001 its reverse (100102111101101), we get a palindrome (201203222302102).

The spelling of 101101111201001 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, two hundred one thousand, one".