101102112101 has 4 divisors (see below), whose sum is σ = 101113043052. Its totient is φ = 101091181152.

The previous prime is 101102112091. The next prime is 101102112107. The reversal of 101102112101 is 101211201101.

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 17205568900 + 83896543201 = 131170^2 + 289649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102112101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102112107) 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, 5451590 + ... + 5470103.

It is an arithmetic number, because the mean of its divisors is an integer number (25278260763).

Almost surely, 2^101102112101 is an apocalyptic number.

It is an amenable number.

101102112101 is a deficient number, since it is larger than the sum of its proper divisors (10930951).

101102112101 is an equidigital number, since it uses as much as digits as its factorization.

101102112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10930950.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101102112101 its reverse (101211201101), we get a palindrome (202313313202).

The spelling of 101102112101 in words is "one hundred one billion, one hundred two million, one hundred twelve thousand, one hundred one".