101120111001 has 48 divisors (see below), whose sum is σ = 184627765504. Its totient is φ = 51896495232.

The previous prime is 101120110969. The next prime is 101120111003. The reversal of 101120111001 is 100111021101.

It is not a de Polignac number, because 101120111001 - 2⁵ = 101120110969 is a prime.

It is a super-2 number, since 2×101120111001² (a number of 23 digits) contains 22 as substring.

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 (101120111003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1638181 + ... + 1698786.

Almost surely, 2^101120111001 is an apocalyptic number.

It is an amenable number.

101120111001 is a deficient number, since it is larger than the sum of its proper divisors (83507654503).

101120111001 is a wasteful number, since it uses less digits than its factorization.

101120111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337030 (or 3337027 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101120111001 its reverse (100111021101), we get a palindrome (201231132102).

The spelling of 101120111001 in words is "one hundred one billion, one hundred twenty million, one hundred eleven thousand, one".