10034020100 has 108 divisors (see below), whose sum is σ = 23639322924. Its totient is φ = 3695178240.

The previous prime is 10034020091. The next prime is 10034020169. The reversal of 10034020100 is 102043001.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 4912327744 + 5121692356 = 70088^2 + 71566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11440862 + ... + 11441738.

Almost surely, 2^10034020100 is an apocalyptic number.

10034020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11819661462).

10034020100 is an abundant number, since it is smaller than the sum of its proper divisors (13605302824).

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

10034020100 is a wasteful number, since it uses less digits than its factorization.

10034020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10034020100 its reverse (102043001), we get a palindrome (10136063101).

The spelling of 10034020100 in words is "ten billion, thirty-four million, twenty thousand, one hundred".