102101334401 has 24 divisors (see below), whose sum is σ = 117246868200. Its totient is φ = 88731104000.

The previous prime is 102101334389. The next prime is 102101334437. The reversal of 102101334401 is 104433101201.

It can be written as a sum of positive squares in 4 ways, for example, as 56636860225 + 45464474176 = 237985^2 + 213224^2 .

It is not a de Polignac number, because 102101334401 - 2⁶ = 102101334337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102101334481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210365 + ... + 498453.

It is an arithmetic number, because the mean of its divisors is an integer number (4885286175).

Almost surely, 2^102101334401 is an apocalyptic number.

102101334401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101334401 is a deficient number, since it is larger than the sum of its proper divisors (15145533799).

102101334401 is a wasteful number, since it uses less digits than its factorization.

102101334401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288241 (or 288230 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102101334401 its reverse (104433101201), we get a palindrome (206534435602).

The spelling of 102101334401 in words is "one hundred two billion, one hundred one million, three hundred thirty-four thousand, four hundred one".