102001101121 has 8 divisors (see below), whose sum is σ = 105537202920. Its totient is φ = 98466254208.

The previous prime is 102001101119. The next prime is 102001101127. The reversal of 102001101121 is 121101100201.

It can be written as a sum of positive squares in 4 ways, for example, as 4216684096 + 97784417025 = 64936^2 + 312705^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102001101121 - 2¹ = 102001101119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102001101098 and 102001101107.

It is not an unprimeable number, because it can be changed into a prime (102001101127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146826 + ... + 474931.

It is an arithmetic number, because the mean of its divisors is an integer number (13192150365).

Almost surely, 2^102001101121 is an apocalyptic number.

It is an amenable number.

102001101121 is a deficient number, since it is larger than the sum of its proper divisors (3536101799).

102001101121 is an equidigital number, since it uses as much as digits as its factorization.

102001101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627443.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102001101121 its reverse (121101100201), we get a palindrome (223102201322).

The spelling of 102001101121 in words is "one hundred two billion, one million, one hundred one thousand, one hundred twenty-one".