10201001010 has 128 divisors (see below), whose sum is σ = 26735097600. Its totient is φ = 2482099200.

The previous prime is 10201000993. The next prime is 10201001033. The reversal of 10201001010 is 1010010201.

10201001010 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10201001010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2127696 + ... + 2132484.

It is an arithmetic number, because the mean of its divisors is an integer number (208867950).

Almost surely, 2^10201001010 is an apocalyptic number.

10201001010 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 10201001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367548800).

10201001010 is an abundant number, since it is smaller than the sum of its proper divisors (16534096590).

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

10201001010 is a wasteful number, since it uses less digits than its factorization.

10201001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4956.

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

Adding to 10201001010 its reverse (1010010201), we get a palindrome (11211011211).

It can be divided in two parts, 1020100 and 1010, that multiplied together give a cube (1030301000 = 1010³).

The spelling of 10201001010 in words is "ten billion, two hundred one million, one thousand, ten".