201012211111110 has 128 divisors (see below), whose sum is σ = 556814923315200. Its totient is φ = 45490672465920.

The previous prime is 201012211111069. The next prime is 201012211111121. The reversal of 201012211111110 is 11111112210102.

201012211111110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×201012211111110³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201012211111110.

It is a congruent number.

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, 27927111 + ... + 34379469.

It is an arithmetic number, because the mean of its divisors is an integer number (4350116588400).

Almost surely, 2^{201012211111110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201012211111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278407461657600).

201012211111110 is an abundant number, since it is smaller than the sum of its proper divisors (355802712204090).

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

201012211111110 is a wasteful number, since it uses less digits than its factorization.

201012211111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6453846.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 201012211111110 its reverse (11111112210102), we get a palindrome (212123323321212).

The spelling of 201012211111110 in words is "two hundred one trillion, twelve billion, two hundred eleven million, one hundred eleven thousand, one hundred ten".