102120110001 has 96 divisors (see below), whose sum is σ = 186803705088. Its totient is φ = 52311329280.

The previous prime is 102120109991. The next prime is 102120110023. The reversal of 102120110001 is 100011021201.

It is a happy number.

It is not a de Polignac number, because 102120110001 - 2¹¹ = 102120107953 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (102120110201) 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, 17784991 + ... + 17790731.

It is an arithmetic number, because the mean of its divisors is an integer number (1945871928).

Almost surely, 2^102120110001 is an apocalyptic number.

It is an amenable number.

102120110001 is a deficient number, since it is larger than the sum of its proper divisors (84683595087).

102120110001 is a wasteful number, since it uses less digits than its factorization.

102120110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6391 (or 6388 counting only the distinct ones).

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

Adding to 102120110001 its reverse (100011021201), we get a palindrome (202131131202).

It can be divided in two parts, 1021201 and 10001, that multiplied together give a palindrome (10213031201).

The spelling of 102120110001 in words is "one hundred two billion, one hundred twenty million, one hundred ten thousand, one".