10220121021213 has 6 divisors (see below), whose sum is σ = 14762397030654. Its totient is φ = 6813414014136.

The previous prime is 10220121021203. The next prime is 10220121021223. The reversal of 10220121021213 is 31212012102201.

10220121021213 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 210 + 21 + 213 = 666.

It is an interprime number because it is at equal distance from previous prime (10220121021203) and next prime (10220121021223).

It can be written as a sum of positive squares in only one way, i.e., 7628964395364 + 2591156625849 = 2762058^2 + 1609707^2 .

It is not a de Polignac number, because 10220121021213 - 2¹³ = 10220121013021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220121021203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567784501170 + ... + 567784501187.

It is an arithmetic number, because the mean of its divisors is an integer number (2460399505109).

Almost surely, 2^{10220121021213} is an apocalyptic number.

It is an amenable number.

10220121021213 is a deficient number, since it is larger than the sum of its proper divisors (4542276009441).

10220121021213 is a wasteful number, since it uses less digits than its factorization.

10220121021213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135569002363 (or 1135569002360 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10220121021213 its reverse (31212012102201), we get a palindrome (41432133123414).

The spelling of 10220121021213 in words is "ten trillion, two hundred twenty billion, one hundred twenty-one million, twenty-one thousand, two hundred thirteen".