101221112002221 has 12 divisors (see below), whose sum is σ = 147502151414748. Its totient is φ = 66883566632064.

The previous prime is 101221112002217. The next prime is 101221112002223. The reversal of 101221112002221 is 122200211122101.

101221112002221 is a `hidden beast` number, since 10 + 1 + 221 + 11 + 200 + 2 + 221 = 666.

101221112002221 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6091325099721 + 95129786902500 = 2468061^2 + 9753450^2 .

It is not a de Polignac number, because 101221112002221 - 2² = 101221112002217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101221112002194 and 101221112002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221112002223) 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, 49764557490 + ... + 49764559523.

It is an arithmetic number, because the mean of its divisors is an integer number (12291845951229).

Almost surely, 2^{101221112002221} is an apocalyptic number.

It is an amenable number.

101221112002221 is a deficient number, since it is larger than the sum of its proper divisors (46281039412527).

101221112002221 is a wasteful number, since it uses less digits than its factorization.

101221112002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99529117132 (or 99529117129 counting only the distinct ones).

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

Adding to 101221112002221 its reverse (122200211122101), we get a palindrome (223421323124322).

The spelling of 101221112002221 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twelve million, two thousand, two hundred twenty-one".