101102130 has 96 divisors (see below), whose sum is σ = 273624624. Its totient is φ = 25878528.

The previous prime is 101102107. The next prime is 101102137. The reversal of 101102130 is 31201101.

It can be written as a sum of positive squares in 8 ways, for example, as 28869129 + 72233001 = 5373^2 + 8499^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101102137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322854 + ... + 323166.

Almost surely, 2^101102130 is an apocalyptic number.

101102130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136812312).

101102130 is an abundant number, since it is smaller than the sum of its proper divisors (172522494).

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

101102130 is a wasteful number, since it uses less digits than its factorization.

101102130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101102130 is about 10054.9554946802. The cubic root of 101102130 is about 465.8578683240.

Adding to 101102130 its reverse (31201101), we get a palindrome (132303231).

The spelling of 101102130 in words is "one hundred one million, one hundred two thousand, one hundred thirty".