10000211010010 has 64 divisors (see below), whose sum is σ = 20183368744224. Its totient is φ = 3543272755200.

The previous prime is 10000211009983. The next prime is 10000211010017. The reversal of 10000211010010 is 1001011200001.

It can be written as a sum of positive squares in 16 ways, for example, as 795862036321 + 9204348973689 = 892111^2 + 3033867^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10000211009975 and 10000211010002.

It is not an unprimeable number, because it can be changed into a prime (10000211010017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15053659 + ... + 15703918.

Almost surely, 2^{10000211010010} is an apocalyptic number.

10000211010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000211010010 is an abundant number, since it is smaller than the sum of its proper divisors (10183157734214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10000211010010 is a wasteful number, since it uses less digits than its factorization.

10000211010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30757699.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10000211010010 its reverse (1001011200001), we get a palindrome (11001222210011).

The spelling of 10000211010010 in words is "ten trillion, two hundred eleven million, ten thousand, ten".