10100102211221 has 12 divisors (see below), whose sum is σ = 11103213876300. Its totient is φ = 9180712981440.

The previous prime is 10100102211209. The next prime is 10100102211257. The reversal of 10100102211221 is 12211220100101.

It can be written as a sum of positive squares in 2 ways, for example, as 6771809152900 + 3328293058321 = 2602270^2 + 1824361^2 .

It is not a de Polignac number, because 10100102211221 - 2³⁴ = 10082922342037 is a prime.

It is a super-2 number, since 2×10100102211221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100102211196 and 10100102211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100102210221) 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, 4514216 + ... + 6370113.

It is an arithmetic number, because the mean of its divisors is an integer number (925267823025).

Almost surely, 2^{10100102211221} is an apocalyptic number.

10100102211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100102211221 is a deficient number, since it is larger than the sum of its proper divisors (1003111665079).

10100102211221 is a wasteful number, since it uses less digits than its factorization.

10100102211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10892020 (or 10892009 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10100102211221 its reverse (12211220100101), we get a palindrome (22311322311322).

The spelling of 10100102211221 in words is "ten trillion, one hundred billion, one hundred two million, two hundred eleven thousand, two hundred twenty-one".