101221120120212 has 36 divisors (see below), whose sum is σ = 269331050614080. Its totient is φ = 31964564248272.

The previous prime is 101221120120129. The next prime is 101221120120213. The reversal of 101221120120212 is 212021021122101.

101221120120212 is a `hidden beast` number, since 10 + 1 + 221 + 1 + 201 + 20 + 212 = 666.

101221120120212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221120120213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73992046188 + ... + 73992047555.

Almost surely, 2^{101221120120212} is an apocalyptic number.

101221120120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101221120120212 is an abundant number, since it is smaller than the sum of its proper divisors (168109930493868).

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

101221120120212 is a wasteful number, since it uses less digits than its factorization.

101221120120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147984093772 (or 147984093767 counting only the distinct ones).

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

Adding to 101221120120212 its reverse (212021021122101), we get a palindrome (313242141242313).

The spelling of 101221120120212 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty million, one hundred twenty thousand, two hundred twelve".