101121011102101 has 2 divisors, whose sum is σ = 101121011102102. Its totient is φ = 101121011102100.

The previous prime is 101121011102071. The next prime is 101121011102113. The reversal of 101121011102101 is 101201110121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52791471819076 + 48329539283025 = 7265774^2 + 6951945^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121011102101 - 2³⁹ = 100571255288213 is a prime.

It is a super-2 number, since 2×101121011102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121011402101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560505551050 + 50560505551051.

It is an arithmetic number, because the mean of its divisors is an integer number (50560505551051).

Almost surely, 2^{101121011102101} is an apocalyptic number.

It is an amenable number.

101121011102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121011102101 is an equidigital number, since it uses as much as digits as its factorization.

101121011102101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101121011102101 its reverse (101201110121101), we get a palindrome (202322121223202).

The spelling of 101121011102101 in words is "one hundred one trillion, one hundred twenty-one billion, eleven million, one hundred two thousand, one hundred one".