10100212303221 has 24 divisors (see below), whose sum is σ = 14864713713720. Its totient is φ = 6606316918656.

The previous prime is 10100212303213. The next prime is 10100212303241. The reversal of 10100212303221 is 12230321200101.

10100212303221 is a `hidden beast` number, since 1 + 0 + 100 + 212 + 30 + 322 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2881930640625 + 7218281662596 = 1697625^2 + 2686686^2 .

It is not a de Polignac number, because 10100212303221 - 2³ = 10100212303213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100212303194 and 10100212303203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100212303241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35762655 + ... + 36043971.

It is an arithmetic number, because the mean of its divisors is an integer number (619363071405).

Almost surely, 2^{10100212303221} is an apocalyptic number.

It is an amenable number.

10100212303221 is a deficient number, since it is larger than the sum of its proper divisors (4764501410499).

10100212303221 is a wasteful number, since it uses less digits than its factorization.

10100212303221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356645 (or 356642 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10100212303221 its reverse (12230321200101), we get a palindrome (22330533503322).

The spelling of 10100212303221 in words is "ten trillion, one hundred billion, two hundred twelve million, three hundred three thousand, two hundred twenty-one".