101120002010101 has 2 divisors, whose sum is σ = 101120002010102. Its totient is φ = 101120002010100.

The previous prime is 101120002010009. The next prime is 101120002010123. The reversal of 101120002010101 is 101010200021101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93568360609476 + 7551641400625 = 9673074^2 + 2748025^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120002010101 - 2²⁵ = 101119968455669 is a prime.

It is a super-3 number, since 3×101120002010101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101120002010141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560001005050 + 50560001005051.

It is an arithmetic number, because the mean of its divisors is an integer number (50560001005051).

Almost surely, 2^{101120002010101} is an apocalyptic number.

It is an amenable number.

101120002010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120002010101 is an equidigital number, since it uses as much as digits as its factorization.

101120002010101 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 10.

Adding to 101120002010101 its reverse (101010200021101), we get a palindrome (202130202031202).

The spelling of 101120002010101 in words is "one hundred one trillion, one hundred twenty billion, two million, ten thousand, one hundred one".