10142563214310 has 128 divisors (see below), whose sum is σ = 24926802969600. Its totient is φ = 2640371212800.

The previous prime is 10142563214309. The next prime is 10142563214323. The reversal of 10142563214310 is 1341236524101.

It is a super-2 number, since 2×10142563214310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1485215976 + ... + 1485222804.

It is an arithmetic number, because the mean of its divisors is an integer number (194740648200).

Almost surely, 2^{10142563214310} is an apocalyptic number.

10142563214310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142563214310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12463401484800).

10142563214310 is an abundant number, since it is smaller than the sum of its proper divisors (14784239755290).

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

10142563214310 is a wasteful number, since it uses less digits than its factorization.

10142563214310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12606.

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 10142563214310 its reverse (1341236524101), we get a palindrome (11483799738411).

Subtracting from 10142563214310 its reverse (1341236524101), we obtain a square (8801326690209 = 2966703²).

The spelling of 10142563214310 in words is "ten trillion, one hundred forty-two billion, five hundred sixty-three million, two hundred fourteen thousand, three hundred ten".