10000201012110 has 192 divisors, whose sum is σ = 27190917509184. Its totient is φ = 2547417600000.

The previous prime is 10000201012093. The next prime is 10000201012163. The reversal of 10000201012110 is 1121010200001.

It is a happy number.

10000201012110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000201012092 and 10000201012101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111067110 + ... + 111157110.

It is an arithmetic number, because the mean of its divisors is an integer number (141619362027).

Almost surely, 2^{10000201012110} is an apocalyptic number.

10000201012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000201012110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595458754592).

10000201012110 is an abundant number, since it is smaller than the sum of its proper divisors (17190716497074).

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

10000201012110 is a wasteful number, since it uses less digits than its factorization.

10000201012110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90659 (or 90656 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000201012110 its reverse (1121010200001), we get a palindrome (11121211212111).

The spelling of 10000201012110 in words is "ten trillion, two hundred one million, twelve thousand, one hundred ten".