101002122121933 has 2 divisors, whose sum is σ = 101002122121934. Its totient is φ = 101002122121932.

The previous prime is 101002122121889. The next prime is 101002122122089. The reversal of 101002122121933 is 339121221200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62057495564964 + 38944626556969 = 7877658^2 + 6240563^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101002122121933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101002122121633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501061060966 + 50501061060967.

It is an arithmetic number, because the mean of its divisors is an integer number (50501061060967).

Almost surely, 2^{101002122121933} is an apocalyptic number.

It is an amenable number.

101002122121933 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002122121933 is an equidigital number, since it uses as much as digits as its factorization.

101002122121933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 101002122121933 in words is "one hundred one trillion, two billion, one hundred twenty-two million, one hundred twenty-one thousand, nine hundred thirty-three".