201101022101112 has 32 divisors (see below), whose sum is σ = 574574348860800. Its totient is φ = 57457434885984.

The previous prime is 201101022101053. The next prime is 201101022101131. The reversal of 201101022101112 is 211101220101102.

It is a happy number.

It is a super-2 number, since 2×201101022101112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201101022101091 and 201101022101100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598514946562 + ... + 598514946897.

It is an arithmetic number, because the mean of its divisors is an integer number (17955448401900).

Almost surely, 2^{201101022101112} is an apocalyptic number.

It is an amenable number.

201101022101112 is an abundant number, since it is smaller than the sum of its proper divisors (373473326759688).

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

201101022101112 is a wasteful number, since it uses less digits than its factorization.

201101022101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197029893475 (or 1197029893471 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201101022101112 its reverse (211101220101102), we get a palindrome (412202242202214).

The spelling of 201101022101112 in words is "two hundred one trillion, one hundred one billion, twenty-two million, one hundred one thousand, one hundred twelve".