10200122010 has 96 divisors (see below), whose sum is σ = 28742772240. Its totient is φ = 2494761984.

The previous prime is 10200122003. The next prime is 10200122011. The reversal of 10200122010 is 1022100201.

It can be written as a sum of positive squares in 8 ways, for example, as 35247969 + 10164874041 = 5937^2 + 100821^2 .

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 = 10200121983 and 10200122001.

It is not an unprimeable number, because it can be changed into a prime (10200122011) 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 47 ways as a sum of consecutive naturals, for example, 155926 + ... + 211454.

Almost surely, 2^10200122010 is an apocalyptic number.

10200122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14371386120).

10200122010 is an abundant number, since it is smaller than the sum of its proper divisors (18542650230).

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

10200122010 is a wasteful number, since it uses less digits than its factorization.

10200122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55712 (or 55709 counting only the distinct ones).

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

Adding to 10200122010 its reverse (1022100201), we get a palindrome (11222222211).

The spelling of 10200122010 in words is "ten billion, two hundred million, one hundred twenty-two thousand, ten".