102120111221001 has 32 divisors (see below), whose sum is σ = 140654546513280. Its totient is φ = 65854339536384.

The previous prime is 102120111220931. The next prime is 102120111221033. The reversal of 102120111221001 is 100122111021201.

It is a happy number.

It is not a de Polignac number, because 102120111221001 - 2⁹ = 102120111220489 is a prime.

It is a super-2 number, since 2×102120111221001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102120111221041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502114390 + ... + 502317728.

It is an arithmetic number, because the mean of its divisors is an integer number (4395454578540).

Almost surely, 2^{102120111221001} is an apocalyptic number.

It is an amenable number.

102120111221001 is a deficient number, since it is larger than the sum of its proper divisors (38534435292279).

102120111221001 is a wasteful number, since it uses less digits than its factorization.

102120111221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229705.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102120111221001 its reverse (100122111021201), we get a palindrome (202242222242202).

The spelling of 102120111221001 in words is "one hundred two trillion, one hundred twenty billion, one hundred eleven million, two hundred twenty-one thousand, one".