101101221202212 has 192 divisors, whose sum is σ = 326803902996480. Its totient is φ = 26259086995200.

The previous prime is 101101221202181. The next prime is 101101221202253. The reversal of 101101221202212 is 212202122101101.

101101221202212 is a `hidden beast` number, since 101 + 101 + 221 + 20 + 221 + 2 = 666.

It is a super-3 number, since 3×101101221202212³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 240296853 + ... + 240717219.

It is an arithmetic number, because the mean of its divisors is an integer number (1702103661440).

Almost surely, 2^{101101221202212} is an apocalyptic number.

101101221202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101221202212 is an abundant number, since it is smaller than the sum of its proper divisors (225702681794268).

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

101101221202212 is a wasteful number, since it uses less digits than its factorization.

101101221202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449319 (or 449311 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101101221202212 its reverse (212202122101101), we get a palindrome (313303343303313).

The spelling of 101101221202212 in words is "one hundred one trillion, one hundred one billion, two hundred twenty-one million, two hundred two thousand, two hundred twelve".