101102321121029 has 2 divisors, whose sum is σ = 101102321121030. Its totient is φ = 101102321121028.

The previous prime is 101102321121001. The next prime is 101102321121041. The reversal of 101102321121029 is 920121123201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96720793016929 + 4381528104100 = 9834673^2 + 2093210^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102321121029 - 2²⁸ = 101102052685573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102321120989 and 101102321121007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101102321121049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551160560514 + 50551160560515.

It is an arithmetic number, because the mean of its divisors is an integer number (50551160560515).

Almost surely, 2^{101102321121029} is an apocalyptic number.

It is an amenable number.

101102321121029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102321121029 is an equidigital number, since it uses as much as digits as its factorization.

101102321121029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 101102321121029 in words is "one hundred one trillion, one hundred two billion, three hundred twenty-one million, one hundred twenty-one thousand, twenty-nine".