10112010011000 has 128 divisors (see below), whose sum is σ = 24056795880000. Its totient is φ = 3977872960000.

The previous prime is 10112010010957. The next prime is 10112010011029. The reversal of 10112010011000 is 11001021101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14713031 + ... + 15384969.

Almost surely, 2^{10112010011000} is an apocalyptic number.

10112010011000 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 10112010011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12028397940000).

10112010011000 is an abundant number, since it is smaller than the sum of its proper divisors (13944785869000).

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

10112010011000 is a wasteful number, since it uses less digits than its factorization.

10112010011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672210 (or 672196 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10112010011000 its reverse (11001021101), we get a palindrome (10123011032101).

The spelling of 10112010011000 in words is "ten trillion, one hundred twelve billion, ten million, eleven thousand".