201012211101012 has 96 divisors (see below), whose sum is σ = 497766755942400. Its totient is φ = 62956829359872.

The previous prime is 201012211100999. The next prime is 201012211101041. The reversal of 201012211101012 is 210101112210102.

It is a happy number.

201012211101012 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 3×201012211101012³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201012211100982 and 201012211101000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86268448 + ... + 88567880.

It is an arithmetic number, because the mean of its divisors is an integer number (5185070374400).

Almost surely, 2^{201012211101012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201012211101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248883377971200).

201012211101012 is an abundant number, since it is smaller than the sum of its proper divisors (296754544841388).

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

201012211101012 is a wasteful number, since it uses less digits than its factorization.

201012211101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302605 (or 2302603 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201012211101012 its reverse (210101112210102), we get a palindrome (411113323311114).

The spelling of 201012211101012 in words is "two hundred one trillion, twelve billion, two hundred eleven million, one hundred one thousand, twelve".