10201110110010 has 96 divisors (see below), whose sum is σ = 26568622080000. Its totient is φ = 2715609224448.

The previous prime is 10201110110003. The next prime is 10201110110021. The reversal of 10201110110010 is 1001101110201.

10201110110010 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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10201110109974 and 10201110110001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124485831 + ... + 124567749.

It is an arithmetic number, because the mean of its divisors is an integer number (276756480000).

Almost surely, 2^{10201110110010} is an apocalyptic number.

10201110110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201110110010 is an abundant number, since it is smaller than the sum of its proper divisors (16367511969990).

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

10201110110010 is a wasteful number, since it uses less digits than its factorization.

10201110110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84300 (or 84297 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10201110110010 its reverse (1001101110201), we get a palindrome (11202211220211).

The spelling of 10201110110010 in words is "ten trillion, two hundred one billion, one hundred ten million, one hundred ten thousand, ten".