10120010010 has 128 divisors (see below), whose sum is σ = 27181440000. Its totient is φ = 2390169600.

The previous prime is 10120010003. The next prime is 10120010023. The reversal of 10120010010 is 1001002101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8101866 + ... + 8103114.

It is an arithmetic number, because the mean of its divisors is an integer number (212355000).

Almost surely, 2^10120010010 is an apocalyptic number.

10120010010 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 10120010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13590720000).

10120010010 is an abundant number, since it is smaller than the sum of its proper divisors (17061429990).

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

10120010010 is a wasteful number, since it uses less digits than its factorization.

10120010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884.

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

Adding to 10120010010 its reverse (1001002101), we get a palindrome (11121012111).

The spelling of 10120010010 in words is "ten billion, one hundred twenty million, ten thousand, ten".