100120112120993 has 2 divisors, whose sum is σ = 100120112120994. Its totient is φ = 100120112120992.

The previous prime is 100120112120971. The next prime is 100120112121049. The reversal of 100120112120993 is 399021211021001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71731803508369 + 28388308612624 = 8469463^2 + 5328068^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120112120993 - 2¹⁰ = 100120112119969 is a prime.

It is a super-2 number, since 2×100120112120993² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100120114120993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060056060496 + 50060056060497.

It is an arithmetic number, because the mean of its divisors is an integer number (50060056060497).

Almost surely, 2^{100120112120993} is an apocalyptic number.

It is an amenable number.

100120112120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120112120993 is an equidigital number, since it uses as much as digits as its factorization.

100120112120993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 32.

Adding to 100120112120993 its reverse (399021211021001), we get a palindrome (499141323141994).

The spelling of 100120112120993 in words is "one hundred trillion, one hundred twenty billion, one hundred twelve million, one hundred twenty thousand, nine hundred ninety-three".