102111221101121 has 4 divisors (see below), whose sum is σ = 108117763518852. Its totient is φ = 96104678683392.

The previous prime is 102111221101103. The next prime is 102111221101139. The reversal of 102111221101121 is 121101122111201.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (102111221101103) and next prime (102111221101139).

It can be written as a sum of positive squares in 2 ways, for example, as 29093768850496 + 73017452250625 = 5393864^2 + 8545025^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111221101121 - 2²⁶ = 102111153992257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 6006542417713 = 102111221101121 / (1 + 0 + 2 + 1 + 1 + 1 + 2 + 2 + 1 + 1 + 0 + 1 + 1 + 2 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102111221101121.

It is not an unprimeable number, because it can be changed into a prime (102111221101921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3003271208840 + ... + 3003271208873.

It is an arithmetic number, because the mean of its divisors is an integer number (27029440879713).

Almost surely, 2^{102111221101121} is an apocalyptic number.

It is an amenable number.

102111221101121 is a deficient number, since it is larger than the sum of its proper divisors (6006542417731).

102111221101121 is an equidigital number, since it uses as much as digits as its factorization.

102111221101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006542417730.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 102111221101121 its reverse (121101122111201), we get a palindrome (223212343212322).

The spelling of 102111221101121 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty-one".