10100100556 has 96 divisors (see below), whose sum is σ = 22517615232. Its totient is φ = 3857448960.

The previous prime is 10100100551. The next prime is 10100100583. The reversal of 10100100556 is 65500100101.

It is not an unprimeable number, because it can be changed into a prime (10100100551) 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, 1444140 + ... + 1451116.

It is an arithmetic number, because the mean of its divisors is an integer number (234558492).

Almost surely, 2^10100100556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100100556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11258807616).

10100100556 is an abundant number, since it is smaller than the sum of its proper divisors (12417514676).

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

10100100556 is a wasteful number, since it uses less digits than its factorization.

10100100556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7139 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 10100100556 its reverse (65500100101), we get a palindrome (75600200657).

The spelling of 10100100556 in words is "ten billion, one hundred million, one hundred thousand, five hundred fifty-six".