10022100101002 has 80 divisors (see below), whose sum is σ = 16609051584360. Its totient is φ = 4535532636800.

The previous prime is 10022100100993. The next prime is 10022100101033. The reversal of 10022100101002 is 20010100122001.

It can be written as a sum of positive squares in 4 ways, for example, as 5710326757641 + 4311773343361 = 2389629^2 + 2076481^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10022100101002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10650477852 + ... + 10650478792.

Almost surely, 2^{10022100101002} is an apocalyptic number.

10022100101002 is a deficient number, since it is larger than the sum of its proper divisors (6586951483358).

10022100101002 is an frugal number, since it uses more digits than its factorization.

10022100101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10022100101002 its reverse (20010100122001), we get a palindrome (30032200223003).

The spelling of 10022100101002 in words is "ten trillion, twenty-two billion, one hundred million, one hundred one thousand, two".