102120100113 has 16 divisors (see below), whose sum is σ = 139315329216. Its totient is φ = 66519901440.

The previous prime is 102120100067. The next prime is 102120100151. The reversal of 102120100113 is 311001021201.

It is not a de Polignac number, because 102120100113 - 2¹³ = 102120091921 is a prime.

It is a super-2 number, since 2×102120100113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102120100153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2155548 + ... + 2202413.

It is an arithmetic number, because the mean of its divisors is an integer number (8707208076).

Almost surely, 2^102120100113 is an apocalyptic number.

It is an amenable number.

102120100113 is a deficient number, since it is larger than the sum of its proper divisors (37195229103).

102120100113 is a wasteful number, since it uses less digits than its factorization.

102120100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358144.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 102120100113 its reverse (311001021201), we get a palindrome (413121121314).

The spelling of 102120100113 in words is "one hundred two billion, one hundred twenty million, one hundred thousand, one hundred thirteen".