101211122121112 has 32 divisors (see below), whose sum is σ = 189943861193280. Its totient is φ = 50559443529120.

The previous prime is 101211122121089. The next prime is 101211122121121. The reversal of 101211122121112 is 211121221112101.

It is a super-2 number, since 2×101211122121112² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101211122121112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44679943 + ... + 46890505.

It is an arithmetic number, because the mean of its divisors is an integer number (5935745662290).

Almost surely, 2^{101211122121112} is an apocalyptic number.

It is an amenable number.

101211122121112 is a deficient number, since it is larger than the sum of its proper divisors (88732739072168).

101211122121112 is a wasteful number, since it uses less digits than its factorization.

101211122121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215783 (or 2215779 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 101211122121112 its reverse (211121221112101), we get a palindrome (312332343233213).

The spelling of 101211122121112 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twelve".