1142113024100 has 18 divisors (see below), whose sum is σ = 2478385262514. Its totient is φ = 456845209600.

The previous prime is 1142113024099. The next prime is 1142113024103. The reversal of 1142113024100 is 14203112411.

It can be written as a sum of positive squares in 3 ways, for example, as 145342412644 + 996770611456 = 381238^2 + 998384^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1142113024103) 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, 5710565021 + ... + 5710565220.

Almost surely, 2^{1142113024100} is an apocalyptic number.

1142113024100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142113024100 is an abundant number, since it is smaller than the sum of its proper divisors (1336272238414).

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

1142113024100 is a wasteful number, since it uses less digits than its factorization.

1142113024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11421130255 (or 11421130248 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1142113024100 its reverse (14203112411), we get a palindrome (1156316136511).

The spelling of 1142113024100 in words is "one trillion, one hundred forty-two billion, one hundred thirteen million, twenty-four thousand, one hundred".