10200101010 has 64 divisors (see below), whose sum is σ = 26737551360. Its totient is φ = 2469804480.

The previous prime is 10200100987. The next prime is 10200101017. The reversal of 10200101010 is 1010100201.

It is a super-2 number, since 2×10200101010² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

10200101010 is a modest number, since divided by 101010 gives 10200 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10200101010.

It is not an unprimeable number, because it can be changed into a prime (10200101017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265479 + ... + 301461.

It is an arithmetic number, because the mean of its divisors is an integer number (417774240).

Almost surely, 2^10200101010 is an apocalyptic number.

10200101010 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 10200101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13368775680).

10200101010 is an abundant number, since it is smaller than the sum of its proper divisors (16537450350).

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

10200101010 is a wasteful number, since it uses less digits than its factorization.

10200101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36863.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10200101010 its reverse (1010100201), we get a palindrome (11210201211).

The spelling of 10200101010 in words is "ten billion, two hundred million, one hundred one thousand, ten".