10142412253100 has 72 divisors (see below), whose sum is σ = 22085040894000. Its totient is φ = 4042977926400.

The previous prime is 10142412253097. The next prime is 10142412253163. The reversal of 10142412253100 is 135221424101.

It is a happy number.

It is a super-2 number, since 2×10142412253100² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10142412253100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34666226 + ... + 34957574.

Almost surely, 2^{10142412253100} is an apocalyptic number.

10142412253100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142412253100 is an abundant number, since it is smaller than the sum of its proper divisors (11942628640900).

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

10142412253100 is a wasteful number, since it uses less digits than its factorization.

10142412253100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292563 (or 292556 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 10142412253100 its reverse (135221424101), we get a palindrome (10277633677201).

The spelling of 10142412253100 in words is "ten trillion, one hundred forty-two billion, four hundred twelve million, two hundred fifty-three thousand, one hundred".