10102313100 has 144 divisors (see below), whose sum is σ = 32336430336. Its totient is φ = 2414496000.

The previous prime is 10102313033. The next prime is 10102313141. The reversal of 10102313100 is 131320101.

It is a super-2 number, since 2×10102313100² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 212742 + ... + 255858.

It is an arithmetic number, because the mean of its divisors is an integer number (224558544).

Almost surely, 2^10102313100 is an apocalyptic number.

10102313100 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 10102313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16168215168).

10102313100 is an abundant number, since it is smaller than the sum of its proper divisors (22234117236).

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

10102313100 is a wasteful number, since it uses less digits than its factorization.

10102313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43216 (or 43209 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10102313100 its reverse (131320101), we get a palindrome (10233633201).

The spelling of 10102313100 in words is "ten billion, one hundred two million, three hundred thirteen thousand, one hundred".