101100202112101 has 4 divisors (see below), whose sum is σ = 101105962496704. Its totient is φ = 101094441727500.

The previous prime is 101100202112081. The next prime is 101100202112123. The reversal of 101100202112101 is 101211202001101.

It is a happy number.

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.

It is a cyclic number.

It is not a de Polignac number, because 101100202112101 - 2¹⁹ = 101100201587813 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 (101100203112101) 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, 2880165975 + ... + 2880201076.

It is an arithmetic number, because the mean of its divisors is an integer number (25276490624176).

Almost surely, 2^{101100202112101} is an apocalyptic number.

It is an amenable number.

101100202112101 is a deficient number, since it is larger than the sum of its proper divisors (5760384603).

101100202112101 is an equidigital number, since it uses as much as digits as its factorization.

101100202112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760384602.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101100202112101 its reverse (101211202001101), we get a palindrome (202311404113202).

The spelling of 101100202112101 in words is "one hundred one trillion, one hundred billion, two hundred two million, one hundred twelve thousand, one hundred one".