201121213231110 has 128 divisors (see below), whose sum is σ = 514855925305344. Its totient is φ = 50106298798080.

The previous prime is 201121213231109. The next prime is 201121213231117. The reversal of 201121213231110 is 11132312121102.

201121213231110 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-2 number, since 2×201121213231110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121213231117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36916170 + ... + 42012450.

It is an arithmetic number, because the mean of its divisors is an integer number (4022311916448).

Almost surely, 2^{201121213231110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201121213231110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257427962652672).

201121213231110 is an abundant number, since it is smaller than the sum of its proper divisors (313734712074234).

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

201121213231110 is a wasteful number, since it uses less digits than its factorization.

201121213231110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096878.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 201121213231110 its reverse (11132312121102), we get a palindrome (212253525352212).

The spelling of 201121213231110 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred thirteen million, two hundred thirty-one thousand, one hundred ten".