101221001220012 has 48 divisors (see below), whose sum is σ = 242567032431360. Its totient is φ = 32828244725952.

The previous prime is 101221001220011. The next prime is 101221001220077. The reversal of 101221001220012 is 210022100122101.

It is a junction number, because it is equal to n+sod(n) for n = 101221001219973 and 101221001220000.

It is not an unprimeable number, because it can be changed into a prime (101221001220011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91571283 + ... + 92670069.

It is an arithmetic number, because the mean of its divisors is an integer number (5053479842320).

Almost surely, 2^{101221001220012} is an apocalyptic number.

101221001220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101221001220012 is an abundant number, since it is smaller than the sum of its proper divisors (141346031211348).

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

101221001220012 is a wasteful number, since it uses less digits than its factorization.

101221001220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306310 (or 1306308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101221001220012 its reverse (210022100122101), we get a palindrome (311243101342113).

The spelling of 101221001220012 in words is "one hundred one trillion, two hundred twenty-one billion, one million, two hundred twenty thousand, twelve".