101221012111212 has 72 divisors (see below), whose sum is σ = 292417180132896. Its totient is φ = 28920197896704.

The previous prime is 101221012111199. The next prime is 101221012111301. The reversal of 101221012111212 is 212111210122101.

It is a happy number.

101221012111212 is a `hidden beast` number, since 101 + 221 + 0 + 121 + 11 + 212 = 666.

It is a super-2 number, since 2×101221012111212² (a number of 29 digits) contains 22 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156575908 + ... + 157221044.

It is an arithmetic number, because the mean of its divisors is an integer number (4061349724068).

Almost surely, 2^{101221012111212} is an apocalyptic number.

101221012111212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101221012111212 is an abundant number, since it is smaller than the sum of its proper divisors (191196168021684).

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

101221012111212 is a wasteful number, since it uses less digits than its factorization.

101221012111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267767 (or 1267762 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101221012111212 its reverse (212111210122101), we get a palindrome (313332222233313).

The spelling of 101221012111212 in words is "one hundred one trillion, two hundred twenty-one billion, twelve million, one hundred eleven thousand, two hundred twelve".