10114012044200 has 24 divisors (see below), whose sum is σ = 23515078003230. Its totient is φ = 4045604817600.

The previous prime is 10114012044181. The next prime is 10114012044293. The reversal of 10114012044200 is 244021041101.

It can be written as a sum of positive squares in 3 ways, for example, as 3702491762596 + 6411520281604 = 1924186^2 + 2532098^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25285029911 + ... + 25285030310.

Almost surely, 2^{10114012044200} is an apocalyptic number.

10114012044200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114012044200 is an abundant number, since it is smaller than the sum of its proper divisors (13401065959030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10114012044200 is a wasteful number, since it uses less digits than its factorization.

10114012044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50570060237 (or 50570060228 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10114012044200 its reverse (244021041101), we get a palindrome (10358033085301).

The spelling of 10114012044200 in words is "ten trillion, one hundred fourteen billion, twelve million, forty-four thousand, two hundred".