101111100212 has 12 divisors (see below), whose sum is σ = 178131972900. Its totient is φ = 50216250816.

The previous prime is 101111100191. The next prime is 101111100217. The reversal of 101111100212 is 212001111101.

It can be written as a sum of positive squares in 2 ways, for example, as 27953833636 + 73157266576 = 167194^2 + 270476^2 .

It is a super-2 number, since 2×101111100212² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101111100193 and 101111100202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111100217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84824153 + ... + 84825344.

It is an arithmetic number, because the mean of its divisors is an integer number (14844331075).

Almost surely, 2^101111100212 is an apocalyptic number.

It is an amenable number.

101111100212 is a deficient number, since it is larger than the sum of its proper divisors (77020872688).

101111100212 is a wasteful number, since it uses less digits than its factorization.

101111100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169649650 (or 169649648 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101111100212 its reverse (212001111101), we get a palindrome (313112211313).

The spelling of 101111100212 in words is "one hundred one billion, one hundred eleven million, one hundred thousand, two hundred twelve".