101121111029 has 2 divisors, whose sum is σ = 101121111030. Its totient is φ = 101121111028.

The previous prime is 101121110947. The next prime is 101121111043. The reversal of 101121111029 is 920111121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55464960100 + 45656150929 = 235510^2 + 213673^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121111029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101121111029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121111929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560555514 + 50560555515.

It is an arithmetic number, because the mean of its divisors is an integer number (50560555515).

Almost surely, 2^101121111029 is an apocalyptic number.

It is an amenable number.

101121111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121111029 is an equidigital number, since it uses as much as digits as its factorization.

101121111029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 101121111029 in words is "one hundred one billion, one hundred twenty-one million, one hundred eleven thousand, twenty-nine".