10202211100010 has 16 divisors (see below), whose sum is σ = 18364316606856. Its totient is φ = 4080809634048.

The previous prime is 10202211100007. The next prime is 10202211100033. The reversal of 10202211100010 is 1000111220201.

It can be written as a sum of positive squares in 4 ways, for example, as 8575930683961 + 1626280416049 = 2928469^2 + 1275257^2 .

It is a super-2 number, since 2×10202211100010² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10202211099964 and 10202211100000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8776259 + ... + 9870518.

Almost surely, 2^{10202211100010} is an apocalyptic number.

10202211100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202211100010 is a deficient number, since it is larger than the sum of its proper divisors (8162105506846).

10202211100010 is a wasteful number, since it uses less digits than its factorization.

10202211100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18701497.

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

Adding to 10202211100010 its reverse (1000111220201), we get a palindrome (11202322320211).

The spelling of 10202211100010 in words is "ten trillion, two hundred two billion, two hundred eleven million, one hundred thousand, ten".