101100212101 has 4 divisors (see below), whose sum is σ = 115543099552. Its totient is φ = 86657324652.

The previous prime is 101100212093. The next prime is 101100212173. The reversal of 101100212101 is 101212001101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 101212001101 = 23 ⋅4400521787.

It is a cyclic number.

It is not a de Polignac number, because 101100212101 - 2³ = 101100212093 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 (101100212501) 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, 7221443715 + ... + 7221443728.

It is an arithmetic number, because the mean of its divisors is an integer number (28885774888).

Almost surely, 2^101100212101 is an apocalyptic number.

It is an amenable number.

101100212101 is a deficient number, since it is larger than the sum of its proper divisors (14442887451).

101100212101 is an equidigital number, since it uses as much as digits as its factorization.

101100212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14442887450.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101100212101 its reverse (101212001101), we get a palindrome (202312213202).

The spelling of 101100212101 in words is "one hundred one billion, one hundred million, two hundred twelve thousand, one hundred one".