102120100101 has 24 divisors (see below), whose sum is σ = 147811075776. Its totient is φ = 67939793280.

The previous prime is 102120100067. The next prime is 102120100151. The reversal of 102120100101 is 101001021201.

It is a happy number.

It is not a de Polignac number, because 102120100101 - 2¹⁸ = 102119837957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120100151) 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 23 ways as a sum of consecutive naturals, for example, 9284061 + ... + 9295053.

It is an arithmetic number, because the mean of its divisors is an integer number (6158794824).

Almost surely, 2^102120100101 is an apocalyptic number.

It is an amenable number.

102120100101 is a deficient number, since it is larger than the sum of its proper divisors (45690975675).

102120100101 is a wasteful number, since it uses less digits than its factorization.

102120100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13033 (or 13030 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102120100101 its reverse (101001021201), we get a palindrome (203121121302).

The spelling of 102120100101 in words is "one hundred two billion, one hundred twenty million, one hundred thousand, one hundred one".