10100334000 has 160 divisors (see below), whose sum is σ = 33444305856. Its totient is φ = 2620569600.

The previous prime is 10100333987. The next prime is 10100334001. The reversal of 10100334000 is 43300101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10100334001) 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, 199252 + ... + 244748.

Almost surely, 2^10100334000 is an apocalyptic number.

10100334000 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 10100334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722152928).

10100334000 is an abundant number, since it is smaller than the sum of its proper divisors (23343971856).

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

10100334000 is a wasteful number, since it uses less digits than its factorization.

10100334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45560 (or 45544 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10100334000 its reverse (43300101), we get a palindrome (10143634101).

The spelling of 10100334000 in words is "ten billion, one hundred million, three hundred thirty-four thousand".