1011100100101 has 24 divisors (see below), whose sum is σ = 1256780954304. Its totient is φ = 796466885760.

The previous prime is 1011100100081. The next prime is 1011100100113. The reversal of 1011100100101 is 1010010011101.

It is a happy number.

It is not a de Polignac number, because 1011100100101 - 2²⁷ = 1010965882373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011100100141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1614040 + ... + 2151121.

It is an arithmetic number, because the mean of its divisors is an integer number (52365873096).

Almost surely, 2^{1011100100101} is an apocalyptic number.

It is an amenable number.

1011100100101 is a deficient number, since it is larger than the sum of its proper divisors (245680854203).

1011100100101 is a wasteful number, since it uses less digits than its factorization.

1011100100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765421 (or 3765408 counting only the distinct ones).

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

Adding to 1011100100101 its reverse (1010010011101), we get a palindrome (2021110111202).

It can be divided in two parts, 10 and 11100100101, that added together give a palindrome (11100100111).

The spelling of 1011100100101 in words is "one trillion, eleven billion, one hundred million, one hundred thousand, one hundred one".