201012111120 has 160 divisors (see below), whose sum is σ = 645645854592. Its totient is φ = 51692691456.

The previous prime is 201012111101. The next prime is 201012111133. The reversal of 201012111120 is 21111210102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201012111096 and 201012111105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 903279 + ... + 1103601.

Almost surely, 2^201012111120 is an apocalyptic number.

201012111120 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 201012111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322822927296).

201012111120 is an abundant number, since it is smaller than the sum of its proper divisors (444633743472).

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

201012111120 is a wasteful number, since it uses less digits than its factorization.

201012111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200489 (or 200483 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201012111120 its reverse (21111210102), we get a palindrome (222123321222).

The spelling of 201012111120 in words is "two hundred one billion, twelve million, one hundred eleven thousand, one hundred twenty".