10010200022010 has 48 divisors (see below), whose sum is σ = 26026714214280. Its totient is φ = 2669366759040.

The previous prime is 10010200021963. The next prime is 10010200022057. The reversal of 10010200022010 is 1022000201001.

It is an interprime number because it is at equal distance from previous prime (10010200021963) and next prime (10010200022057).

It can be written as a sum of positive squares in 4 ways, for example, as 8955756508689 + 1054443513321 = 2992617^2 + 1026861^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010200021983 and 10010200022001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14799000 + ... + 15460620.

Almost surely, 2^{10010200022010} is an apocalyptic number.

10010200022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010200022010 is an abundant number, since it is smaller than the sum of its proper divisors (16016514192270).

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

10010200022010 is a wasteful number, since it uses less digits than its factorization.

10010200022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829743 (or 829740 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10010200022010 its reverse (1022000201001), we get a palindrome (11032200223011).

The spelling of 10010200022010 in words is "ten trillion, ten billion, two hundred million, twenty-two thousand, ten".