101100010122101 has 4 divisors (see below), whose sum is σ = 101100314287500. Its totient is φ = 101099705956704.

The previous prime is 101100010121989. The next prime is 101100010122233. The reversal of 101100010122101 is 101221010001101.

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 70217260421476 + 30882749700625 = 8379574^2 + 5557225^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100010122101 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 (101100010142101) 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, 151583576 + ... + 152249073.

It is an arithmetic number, because the mean of its divisors is an integer number (25275078571875).

Almost surely, 2^{101100010122101} is an apocalyptic number.

It is an amenable number.

101100010122101 is a deficient number, since it is larger than the sum of its proper divisors (304165399).

101100010122101 is an equidigital number, since it uses as much as digits as its factorization.

101100010122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304165398.

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

Adding to 101100010122101 its reverse (101221010001101), we get a palindrome (202321020123202).

The spelling of 101100010122101 in words is "one hundred one trillion, one hundred billion, ten million, one hundred twenty-two thousand, one hundred one".