10142400551100 has 72 divisors (see below), whose sum is σ = 29347800037248. Its totient is φ = 2704413931200.

The previous prime is 10142400551047. The next prime is 10142400551111. The reversal of 10142400551100 is 115500424101.

It is a super-2 number, since 2×10142400551100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 2194255 + ... + 5009945.

Almost surely, 2^{10142400551100} is an apocalyptic number.

10142400551100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142400551100 is an abundant number, since it is smaller than the sum of its proper divisors (19205399486148).

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

10142400551100 is a wasteful number, since it uses less digits than its factorization.

10142400551100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827715 (or 2827708 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 10142400551100 its reverse (115500424101), we get a palindrome (10257900975201).

The spelling of 10142400551100 in words is "ten trillion, one hundred forty-two billion, four hundred million, five hundred fifty-one thousand, one hundred".