10102221100010 has 32 divisors (see below), whose sum is σ = 19606389420240. Its totient is φ = 3725551369728.

The previous prime is 10102221099953. The next prime is 10102221100057. The reversal of 10102221100010 is 1000112220101.

It can be written as a sum of positive squares in 8 ways, for example, as 3639689393209 + 6462531706801 = 1907797^2 + 2542151^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10102221099964 and 10102221100000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46761587 + ... + 46977126.

Almost surely, 2^{10102221100010} is an apocalyptic number.

10102221100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102221100010 is a deficient number, since it is larger than the sum of its proper divisors (9504168320230).

10102221100010 is a wasteful number, since it uses less digits than its factorization.

10102221100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93739562.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10102221100010 its reverse (1000112220101), we get a palindrome (11102333320111).

The spelling of 10102221100010 in words is "ten trillion, one hundred two billion, two hundred twenty-one million, one hundred thousand, ten".