10142111102400 has 252 divisors, whose sum is σ = 36541262098432. Its totient is φ = 2667513876480.

The previous prime is 10142111102377. The next prime is 10142111102407. The reversal of 10142111102400 is 420111124101.

10142111102400 is a `hidden beast` number, since 1 + 0 + 1 + 421 + 1 + 1 + 1 + 0 + 240 + 0 = 666.

It is a super-2 number, since 2×10142111102400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142111102407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3772864 + ... + 5875263.

Almost surely, 2^{10142111102400} is an apocalyptic number.

10142111102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142111102400 is an abundant number, since it is smaller than the sum of its proper divisors (26399150996032).

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

10142111102400 is a wasteful number, since it uses less digits than its factorization.

10142111102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9648228 (or 9648210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10142111102400 its reverse (420111124101), we get a palindrome (10562222226501).

The spelling of 10142111102400 in words is "ten trillion, one hundred forty-two billion, one hundred eleven million, one hundred two thousand, four hundred".