101121011122101 has 4 divisors (see below), whose sum is σ = 134828014829472. Its totient is φ = 67414007414732.

The previous prime is 101121011122091. The next prime is 101121011122123. The reversal of 101121011122101 is 101221110121101.

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 101121011122101 - 2⁵ = 101121011122069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121011102101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16853501853681 + ... + 16853501853686.

It is an arithmetic number, because the mean of its divisors is an integer number (33707003707368).

Almost surely, 2^{101121011122101} is an apocalyptic number.

It is an amenable number.

101121011122101 is a deficient number, since it is larger than the sum of its proper divisors (33707003707371).

101121011122101 is an equidigital number, since it uses as much as digits as its factorization.

101121011122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33707003707370.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101121011122101 its reverse (101221110121101), we get a palindrome (202342121243202).

The spelling of 101121011122101 in words is "one hundred one trillion, one hundred twenty-one billion, eleven million, one hundred twenty-two thousand, one hundred one".