10142563214200 has 24 divisors (see below), whose sum is σ = 23581459473480. Its totient is φ = 4057025285600.

The previous prime is 10142563214183. The next prime is 10142563214209. The reversal of 10142563214200 is 241236524101.

It is a super-4 number, since 4×10142563214200⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142563214209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25356407836 + ... + 25356408235.

It is an arithmetic number, because the mean of its divisors is an integer number (982560811395).

Almost surely, 2^{10142563214200} is an apocalyptic number.

10142563214200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142563214200 is an abundant number, since it is smaller than the sum of its proper divisors (13438896259280).

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

10142563214200 is a wasteful number, since it uses less digits than its factorization.

10142563214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50712816087 (or 50712816078 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 10142563214200 its reverse (241236524101), we get a palindrome (10383799738301).

The spelling of 10142563214200 in words is "ten trillion, one hundred forty-two billion, five hundred sixty-three million, two hundred fourteen thousand, two hundred".