101002031993 has 2 divisors, whose sum is σ = 101002031994. Its totient is φ = 101002031992.

The previous prime is 101002031987. The next prime is 101002032073. The reversal of 101002031993 is 399130200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63848698489 + 37153333504 = 252683^2 + 192752^2 .

It is an emirp because it is prime and its reverse (399130200101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101002031993 - 2⁶ = 101002031929 is a prime.

It is not a weakly prime, because it can be changed into another prime (101002034993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501015996 + 50501015997.

It is an arithmetic number, because the mean of its divisors is an integer number (50501015997).

Almost surely, 2^101002031993 is an apocalyptic number.

It is an amenable number.

101002031993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002031993 is an equidigital number, since it uses as much as digits as its factorization.

101002031993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 29.

The spelling of 101002031993 in words is "one hundred one billion, two million, thirty-one thousand, nine hundred ninety-three".