102134221001 has 12 divisors (see below), whose sum is σ = 111141767100. Its totient is φ = 93781770240.

The previous prime is 102134220983. The next prime is 102134221009. The reversal of 102134221001 is 100122431201.

It can be written as a sum of positive squares in 6 ways, for example, as 7993254025 + 94140966976 = 89405^2 + 306824^2 .

It is not a de Polignac number, because 102134221001 - 2²⁶ = 102067112137 is a prime.

It is a super-2 number, since 2×102134221001² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102134221009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4297976 + ... + 4321673.

It is an arithmetic number, because the mean of its divisors is an integer number (9261813925).

Almost surely, 2^102134221001 is an apocalyptic number.

It is an amenable number.

102134221001 is a deficient number, since it is larger than the sum of its proper divisors (9007546099).

102134221001 is an equidigital number, since it uses as much as digits as its factorization.

102134221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8619724 (or 8619707 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102134221001 its reverse (100122431201), we get a palindrome (202256652202).

The spelling of 102134221001 in words is "one hundred two billion, one hundred thirty-four million, two hundred twenty-one thousand, one".