101002120111993 has 2 divisors, whose sum is σ = 101002120111994. Its totient is φ = 101002120111992.

The previous prime is 101002120111987. The next prime is 101002120112021. The reversal of 101002120111993 is 399111021200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52478259779344 + 48523860332649 = 7244188^2 + 6965907^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002120111993 - 2³³ = 100993530177401 is a prime.

It is not a weakly prime, because it can be changed into another prime (101002120114993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501060055996 + 50501060055997.

It is an arithmetic number, because the mean of its divisors is an integer number (50501060055997).

Almost surely, 2^{101002120111993} is an apocalyptic number.

It is an amenable number.

101002120111993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002120111993 is an equidigital number, since it uses as much as digits as its factorization.

101002120111993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 31.

The spelling of 101002120111993 in words is "one hundred one trillion, two billion, one hundred twenty million, one hundred eleven thousand, nine hundred ninety-three".