102120133101 has 96 divisors (see below), whose sum is σ = 176063569920. Its totient is φ = 52214367744.

The previous prime is 102120133091. The next prime is 102120133103. The reversal of 102120133101 is 101331021201.

It is a happy number.

It is not a de Polignac number, because 102120133101 - 2⁷ = 102120132973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120133103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9593340 + ... + 9603978.

It is an arithmetic number, because the mean of its divisors is an integer number (1833995520).

Almost surely, 2^102120133101 is an apocalyptic number.

It is an amenable number.

102120133101 is a deficient number, since it is larger than the sum of its proper divisors (73943436819).

102120133101 is a wasteful number, since it uses less digits than its factorization.

102120133101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10863 (or 10856 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102120133101 its reverse (101331021201), we get a palindrome (203451154302).

The spelling of 102120133101 in words is "one hundred two billion, one hundred twenty million, one hundred thirty-three thousand, one hundred one".