101222012020221 has 12 divisors (see below), whose sum is σ = 147054714960348. Its totient is φ = 67091275788864.

The previous prime is 101222012020133. The next prime is 101222012020223. The reversal of 101222012020221 is 122020210222101.

It is a happy number.

101222012020221 is a `hidden beast` number, since 10 + 12 + 220 + 1 + 202 + 0 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77787796028121 + 23434215992100 = 8819739^2 + 4840890^2 .

It is not a de Polignac number, because 101222012020221 - 2³⁷ = 101084573066749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101222012020194 and 101222012020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222012020223) 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, 32505461520 + ... + 32505464633.

It is an arithmetic number, because the mean of its divisors is an integer number (12254559580029).

Almost surely, 2^{101222012020221} is an apocalyptic number.

It is an amenable number.

101222012020221 is a deficient number, since it is larger than the sum of its proper divisors (45832702940127).

101222012020221 is a wasteful number, since it uses less digits than its factorization.

101222012020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65010926332 (or 65010926329 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101222012020221 its reverse (122020210222101), we get a palindrome (223242222242322).

The spelling of 101222012020221 in words is "one hundred one trillion, two hundred twenty-two billion, twelve million, twenty thousand, two hundred twenty-one".