2561201004101 has 8 divisors (see below), whose sum is σ = 2564407883160. Its totient is φ = 2557995835392.

The previous prime is 2561201004097. The next prime is 2561201004119. The reversal of 2561201004101 is 1014001021652.

It can be written as a sum of positive squares in 4 ways, for example, as 701866950625 + 1859334053476 = 837775^2 + 1363574^2 .

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 2561201004101 - 2² = 2561201004097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561201004121) 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, 2582471 + ... + 3433883.

It is an arithmetic number, because the mean of its divisors is an integer number (320550985395).

Almost surely, 2^{2561201004101} is an apocalyptic number.

It is an amenable number.

2561201004101 is a deficient number, since it is larger than the sum of its proper divisors (3206879059).

2561201004101 is a wasteful number, since it uses less digits than its factorization.

2561201004101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855175.

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 2561201004101 its reverse (1014001021652), we get a palindrome (3575202025753).

The spelling of 2561201004101 in words is "two trillion, five hundred sixty-one billion, two hundred one million, four thousand, one hundred one".