10200253151041 has 8 divisors (see below), whose sum is σ = 10211048476200. Its totient is φ = 10189463496960.

The previous prime is 10200253151009. The next prime is 10200253151059. The reversal of 10200253151041 is 14015135200201.

It can be written as a sum of positive squares in 4 ways, for example, as 309900816 + 10199943250225 = 17604^2 + 3193735^2 .

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 10200253151041 - 2⁵ = 10200253151009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10200253150997 and 10200253151015.

It is not an unprimeable number, because it can be changed into a prime (10200253151071) 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, 2186265 + ... + 5017993.

It is an arithmetic number, because the mean of its divisors is an integer number (1276381059525).

Almost surely, 2^{10200253151041} is an apocalyptic number.

It is an amenable number.

10200253151041 is a deficient number, since it is larger than the sum of its proper divisors (10795325159).

10200253151041 is a wasteful number, since it uses less digits than its factorization.

10200253151041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835539.

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 10200253151041 its reverse (14015135200201), we get a palindrome (24215388351242).

The spelling of 10200253151041 in words is "ten trillion, two hundred billion, two hundred fifty-three million, one hundred fifty-one thousand, forty-one".