10200201021010 has 256 divisors, whose sum is σ = 25654559293440. Its totient is φ = 2816545213440.

The previous prime is 10200201020927. The next prime is 10200201021011. The reversal of 10200201021010 is 1012010200201.

It is a super-2 number, since 2×10200201021010² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10200201021011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48373227 + ... + 48583633.

It is an arithmetic number, because the mean of its divisors is an integer number (100213122240).

Almost surely, 2^{10200201021010} is an apocalyptic number.

10200201021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200201021010 is an abundant number, since it is smaller than the sum of its proper divisors (15454358272430).

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

10200201021010 is a wasteful number, since it uses less digits than its factorization.

10200201021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210641.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10200201021010 its reverse (1012010200201), we get a palindrome (11212211221211).

The spelling of 10200201021010 in words is "ten trillion, two hundred billion, two hundred one million, twenty-one thousand, ten".