10314101100 has 72 divisors (see below), whose sum is σ = 29966168848. Its totient is φ = 2738995200.

The previous prime is 10314101051. The next prime is 10314101137. The reversal of 10314101100 is 110141301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972 + ... + 143628.

Almost surely, 2^10314101100 is an apocalyptic number.

10314101100 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 10314101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14983084424).

10314101100 is an abundant number, since it is smaller than the sum of its proper divisors (19652067748).

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

10314101100 is a wasteful number, since it uses less digits than its factorization.

10314101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142915 (or 142908 counting only the distinct ones).

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

Adding to 10314101100 its reverse (110141301), we get a palindrome (10424242401).

The spelling of 10314101100 in words is "ten billion, three hundred fourteen million, one hundred one thousand, one hundred".