201010341120 has 144 divisors (see below), whose sum is σ = 642227514432. Its totient is φ = 53581824000.

The previous prime is 201010341107. The next prime is 201010341131. The reversal of 201010341120 is 21143010102.

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 201010341120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11515119 + ... + 11532561.

Almost surely, 2^201010341120 is an apocalyptic number.

201010341120 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 201010341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321113757216).

201010341120 is an abundant number, since it is smaller than the sum of its proper divisors (441217173312).

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

201010341120 is a wasteful number, since it uses less digits than its factorization.

201010341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20468 (or 20454 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201010341120 its reverse (21143010102), we get a palindrome (222153351222).

The spelling of 201010341120 in words is "two hundred one billion, ten million, three hundred forty-one thousand, one hundred twenty".