201011121110112 has 96 divisors (see below), whose sum is σ = 541963778285664. Its totient is φ = 65186942054400.

The previous prime is 201011121110089. The next prime is 201011121110113. The reversal of 201011121110112 is 211011121110102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×201011121110112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201011121110091 and 201011121110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201011121110113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37108662 + ... + 42179082.

It is an arithmetic number, because the mean of its divisors is an integer number (5645456023809).

Almost surely, 2^{201011121110112} is an apocalyptic number.

It is an amenable number.

201011121110112 is an abundant number, since it is smaller than the sum of its proper divisors (340952657175552).

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

201011121110112 is a wasteful number, since it uses less digits than its factorization.

201011121110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081632 (or 5081624 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 201011121110112 its reverse (211011121110102), we get a palindrome (412022242220214).

The spelling of 201011121110112 in words is "two hundred one trillion, eleven billion, one hundred twenty-one million, one hundred ten thousand, one hundred twelve".