101101212100212 has 12 divisors (see below), whose sum is σ = 235902828233856. Its totient is φ = 33700404033400.

The previous prime is 101101212100199. The next prime is 101101212100241. The reversal of 101101212100212 is 212001212101101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 101101212100191 and 101101212100200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4212550504164 + ... + 4212550504187.

It is an arithmetic number, because the mean of its divisors is an integer number (19658569019488).

Almost surely, 2^{101101212100212} is an apocalyptic number.

101101212100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101212100212 is an abundant number, since it is smaller than the sum of its proper divisors (134801616133644).

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

101101212100212 is a wasteful number, since it uses less digits than its factorization.

101101212100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8425101008358 (or 8425101008356 counting only the distinct ones).

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

Adding to 101101212100212 its reverse (212001212101101), we get a palindrome (313102424201313).

The spelling of 101101212100212 in words is "one hundred one trillion, one hundred one billion, two hundred twelve million, one hundred thousand, two hundred twelve".