101102201101101 has 32 divisors (see below), whose sum is σ = 137251611786240. Its totient is φ = 66186989235584.

The previous prime is 101102201101091. The next prime is 101102201101127. The reversal of 101102201101101 is 101101102201101.

It is not a de Polignac number, because 101102201101101 - 2²⁷ = 101102066883373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102201108101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 890609521 + ... + 890723033.

It is an arithmetic number, because the mean of its divisors is an integer number (4289112868320).

Almost surely, 2^{101102201101101} is an apocalyptic number.

It is an amenable number.

101102201101101 is a deficient number, since it is larger than the sum of its proper divisors (36149410685139).

101102201101101 is a wasteful number, since it uses less digits than its factorization.

101102201101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135185.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101102201101101 its reverse (101101102201101), we get a palindrome (202203303302202).

It can be divided in two parts, 101102201101 and 101, that multiplied together give a palindrome (10211322311201).

The spelling of 101102201101101 in words is "one hundred one trillion, one hundred two billion, two hundred one million, one hundred one thousand, one hundred one".