201012211101240 has 768 divisors, whose sum is σ = 857797966771200. Its totient is φ = 39550154342400.

The previous prime is 201012211101239. The next prime is 201012211101319. The reversal of 201012211101240 is 42101112210102.

201012211101240 is a `hidden beast` number, since 2 + 0 + 101 + 221 + 1 + 101 + 240 = 666.

201012211101240 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 3×201012211101240³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1039042920 + ... + 1039236360.

It is an arithmetic number, because the mean of its divisors is an integer number (1116924435900).

Almost surely, 2^{201012211101240} is an apocalyptic number.

201012211101240 is a gapful number since it is divisible by the number (20) 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 201012211101240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428898983385600).

201012211101240 is an abundant number, since it is smaller than the sum of its proper divisors (656785755669960).

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

201012211101240 is a wasteful number, since it uses less digits than its factorization.

201012211101240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195468 (or 195461 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201012211101240 its reverse (42101112210102), we get a palindrome (243113323311342).

The spelling of 201012211101240 in words is "two hundred one trillion, twelve billion, two hundred eleven million, one hundred one thousand, two hundred forty".