102001010130 has 80 divisors (see below), whose sum is σ = 275337140760. Its totient is φ = 27094376448.

The previous prime is 102001010129. The next prime is 102001010131. The reversal of 102001010130 is 31010100201.

It is an interprime number because it is at equal distance from previous prime (102001010129) and next prime (102001010131).

It can be written as a sum of positive squares in 4 ways, for example, as 85972690521 + 16028319609 = 293211^2 + 126603^2 .

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 (102001010131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36825 + ... + 453164.

Almost surely, 2^102001010130 is an apocalyptic number.

102001010130 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 102001010130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137668570380).

102001010130 is an abundant number, since it is smaller than the sum of its proper divisors (173336130630).

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

102001010130 is a wasteful number, since it uses less digits than its factorization.

102001010130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490265 (or 490256 counting only the distinct ones).

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

Adding to 102001010130 its reverse (31010100201), we get a palindrome (133011110331).

The spelling of 102001010130 in words is "one hundred two billion, one million, ten thousand, one hundred thirty".