102120222100101 has 48 divisors (see below), whose sum is σ = 143353297920768. Its totient is φ = 64644077433600.

The previous prime is 102120222100067. The next prime is 102120222100103. The reversal of 102120222100101 is 101001222021201.

It is not a de Polignac number, because 102120222100101 - 2²³ = 102120213711493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120222100103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967535391 + ... + 967640931.

It is an arithmetic number, because the mean of its divisors is an integer number (2986527040016).

Almost surely, 2^{102120222100101} is an apocalyptic number.

It is an amenable number.

102120222100101 is a deficient number, since it is larger than the sum of its proper divisors (41233075820667).

102120222100101 is a wasteful number, since it uses less digits than its factorization.

102120222100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111950 (or 111921 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102120222100101 its reverse (101001222021201), we get a palindrome (203121444121302).

The spelling of 102120222100101 in words is "one hundred two trillion, one hundred twenty billion, two hundred twenty-two million, one hundred thousand, one hundred one".