101211122101 has 4 divisors (see below), whose sum is σ = 101211834304. Its totient is φ = 101210409900.

The previous prime is 101211122093. The next prime is 101211122107. The reversal of 101211122101 is 101221112101.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 101211122101 - 2³ = 101211122093 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 (101211122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61935 + ... + 454156.

It is an arithmetic number, because the mean of its divisors is an integer number (25302958576).

Almost surely, 2^101211122101 is an apocalyptic number.

It is an amenable number.

101211122101 is a deficient number, since it is larger than the sum of its proper divisors (712203).

101211122101 is an equidigital number, since it uses as much as digits as its factorization.

101211122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712202.

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

Adding to 101211122101 its reverse (101221112101), we get a palindrome (202432234202).

The spelling of 101211122101 in words is "one hundred one billion, two hundred eleven million, one hundred twenty-two thousand, one hundred one".