1100101120101 has 12 divisors (see below), whose sum is σ = 1612751891712. Its totient is φ = 722454466536.

The previous prime is 1100101120093. The next prime is 1100101120133. The reversal of 1100101120101 is 1010211010011.

It is not a de Polignac number, because 1100101120101 - 2³ = 1100101120093 is a prime.

It is a super-3 number, since 3×1100101120101³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100101120141) 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, 912189381 + ... + 912190586.

It is an arithmetic number, because the mean of its divisors is an integer number (134395990976).

Almost surely, 2^{1100101120101} is an apocalyptic number.

It is an amenable number.

1100101120101 is a deficient number, since it is larger than the sum of its proper divisors (512650771611).

1100101120101 is a wasteful number, since it uses less digits than its factorization.

1100101120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824380040 (or 1824380037 counting only the distinct ones).

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

Adding to 1100101120101 its reverse (1010211010011), we get a palindrome (2110312130112).

The spelling of 1100101120101 in words is "one trillion, one hundred billion, one hundred one million, one hundred twenty thousand, one hundred one".