110312142201000 has 96 divisors (see below), whose sum is σ = 372855040669800. Its totient is φ = 29416571251200.

The previous prime is 110312142200977. The next prime is 110312142201059. The reversal of 110312142201000 is 102241213011.

110312142201000 is a `hidden beast` number, since 1 + 10 + 312 + 142 + 201 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58054250603556 + 52257891597444 = 7619334^2 + 7228962^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6128443345 + ... + 6128461344.

Almost surely, 2^{110312142201000} is an apocalyptic number.

110312142201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110312142201000 is an abundant number, since it is smaller than the sum of its proper divisors (262542898468800).

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

110312142201000 is a wasteful number, since it uses less digits than its factorization.

110312142201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12256904716 (or 12256904699 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110312142201000 its reverse (102241213011), we get a palindrome (110414383414011).

The spelling of 110312142201000 in words is "one hundred ten trillion, three hundred twelve billion, one hundred forty-two million, two hundred one thousand".