10140333100 has 72 divisors (see below), whose sum is σ = 22548556800. Its totient is φ = 3956124480.

The previous prime is 10140333083. The next prime is 10140333101. The reversal of 10140333100 is 133304101.

It is a super-2 number, since 2×10140333100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10140333101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4225701 + ... + 4228099.

It is an arithmetic number, because the mean of its divisors is an integer number (313174400).

Almost surely, 2^10140333100 is an apocalyptic number.

10140333100 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 10140333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11274278400).

10140333100 is an abundant number, since it is smaller than the sum of its proper divisors (12408223700).

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

10140333100 is a wasteful number, since it uses less digits than its factorization.

10140333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10140333100 its reverse (133304101), we get a palindrome (10273637201).

The spelling of 10140333100 in words is "ten billion, one hundred forty million, three hundred thirty-three thousand, one hundred".