101111122000101 has 4 divisors (see below), whose sum is σ = 134814829333472. Its totient is φ = 67407414666732.

The previous prime is 101111122000043. The next prime is 101111122000253. The reversal of 101111122000101 is 101000221111101.

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 not a de Polignac number, because 101111122000101 - 2³⁰ = 101110048258277 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 (101111122000001) 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, 16851853666681 + ... + 16851853666686.

It is an arithmetic number, because the mean of its divisors is an integer number (33703707333368).

Almost surely, 2^{101111122000101} is an apocalyptic number.

It is an amenable number.

101111122000101 is a deficient number, since it is larger than the sum of its proper divisors (33703707333371).

101111122000101 is an equidigital number, since it uses as much as digits as its factorization.

101111122000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33703707333370.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101111122000101 its reverse (101000221111101), we get a palindrome (202111343111202).

The spelling of 101111122000101 in words is "one hundred one trillion, one hundred eleven billion, one hundred twenty-two million, one hundred one", and thus it is an aban number.