201111011102112 has 48 divisors (see below), whose sum is σ = 528017326204032. Its totient is φ = 67024188200960.

The previous prime is 201111011102083. The next prime is 201111011102117. The reversal of 201111011102112 is 211201110111102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×201111011102112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201111011102091 and 201111011102100.

It is not an unprimeable number, because it can be changed into a prime (201111011102117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199737393 + ... + 200741744.

It is an arithmetic number, because the mean of its divisors is an integer number (11000360962584).

Almost surely, 2^{201111011102112} is an apocalyptic number.

It is an amenable number.

201111011102112 is an abundant number, since it is smaller than the sum of its proper divisors (326906315101920).

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

201111011102112 is a wasteful number, since it uses less digits than its factorization.

201111011102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400484381 (or 400484373 counting only the distinct ones).

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

Adding to 201111011102112 its reverse (211201110111102), we get a palindrome (412312121213214).

The spelling of 201111011102112 in words is "two hundred one trillion, one hundred eleven billion, eleven million, one hundred two thousand, one hundred twelve".