201112112021120 has 128 divisors (see below), whose sum is σ = 482487226378560. Its totient is φ = 80160075104256.

The previous prime is 201112112021111. The next prime is 201112112021131. The reversal of 201112112021120 is 21120211211102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×201112112021120² (a number of 29 digits) contains 22 as substring.

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, 376526087 + ... + 377059833.

Almost surely, 2^{201112112021120} is an apocalyptic number.

201112112021120 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 201112112021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241243613189280).

201112112021120 is an abundant number, since it is smaller than the sum of its proper divisors (281375114357440).

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

201112112021120 is a wasteful number, since it uses less digits than its factorization.

201112112021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535850 (or 535838 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 201112112021120 its reverse (21120211211102), we get a palindrome (222232323232222).

The spelling of 201112112021120 in words is "two hundred one trillion, one hundred twelve billion, one hundred twelve million, twenty-one thousand, one hundred twenty".