101212211000112 has 20 divisors (see below), whose sum is σ = 261464878417080. Its totient is φ = 33737403666688.

The previous prime is 101212211000059. The next prime is 101212211000113. The reversal of 101212211000112 is 211000112212101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101212211000091 and 101212211000100.

It is not an unprimeable number, because it can be changed into a prime (101212211000113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1054293864537 + ... + 1054293864632.

It is an arithmetic number, because the mean of its divisors is an integer number (13073243920854).

Almost surely, 2^{101212211000112} is an apocalyptic number.

101212211000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101212211000112 is an abundant number, since it is smaller than the sum of its proper divisors (160252667416968).

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

101212211000112 is a wasteful number, since it uses less digits than its factorization.

101212211000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108587729180 (or 2108587729174 counting only the distinct ones).

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

Adding to 101212211000112 its reverse (211000112212101), we get a palindrome (312212323212213).

The spelling of 101212211000112 in words is "one hundred one trillion, two hundred twelve billion, two hundred eleven million, one hundred twelve", and thus it is an aban number.