110010133201000 has 256 divisors, whose sum is σ = 269290440993600. Its totient is φ = 42012049408000.

The previous prime is 110010133200991. The next prime is 110010133201013. The reversal of 110010133201000 is 102331010011.

It can be written as a sum of positive squares in 32 ways, for example, as 119402038116 + 109890731162884 = 345546^2 + 10482878^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1021007130 + ... + 1021114870.

Almost surely, 2^{110010133201000} is an apocalyptic number.

110010133201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110010133201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134645220496800).

110010133201000 is an abundant number, since it is smaller than the sum of its proper divisors (159280307792600).

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

110010133201000 is a wasteful number, since it uses less digits than its factorization.

110010133201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108185 (or 108171 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 110010133201000 its reverse (102331010011), we get a palindrome (110112464211011).

The spelling of 110010133201000 in words is "one hundred ten trillion, ten billion, one hundred thirty-three million, two hundred one thousand".