101011101112212 has 48 divisors (see below), whose sum is σ = 248408730911040. Its totient is φ = 31858219510272.

The previous prime is 101011101112211. The next prime is 101011101112223. The reversal of 101011101112212 is 212211101110101.

It is a junction number, because it is equal to n+sod(n) for n = 101011101112191 and 101011101112200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011101112211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 277755013 + ... + 278118444.

It is an arithmetic number, because the mean of its divisors is an integer number (5175181893980).

Almost surely, 2^{101011101112212} is an apocalyptic number.

101011101112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011101112212 is an abundant number, since it is smaller than the sum of its proper divisors (147397629798828).

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

101011101112212 is a wasteful number, since it uses less digits than its factorization.

101011101112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555874280 (or 555874278 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101011101112212 its reverse (212211101110101), we get a palindrome (313222202222313).

The spelling of 101011101112212 in words is "one hundred one trillion, eleven billion, one hundred one million, one hundred twelve thousand, two hundred twelve".