101121000121101 has 128 divisors (see below), whose sum is σ = 143923391377920. Its totient is φ = 63066415104000.

The previous prime is 101121000121067. The next prime is 101121000121139.

101121000121101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101121000121101 - 2⁴⁵ = 65936628032269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121000121181) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78449184865 + ... + 78449186153.

It is an arithmetic number, because the mean of its divisors is an integer number (1124401495140).

Almost surely, 2^{101121000121101} is an apocalyptic number.

It is an amenable number.

101121000121101 is a deficient number, since it is larger than the sum of its proper divisors (42802391256819).

101121000121101 is a wasteful number, since it uses less digits than its factorization.

101121000121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287.

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

It can be divided in two parts, 101121000 and 121101, that added together give a palindrome (101242101).

The spelling of 101121000121101 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-one thousand, one hundred one".