102035201130 has 96 divisors (see below), whose sum is σ = 269986049424. Its totient is φ = 26732003328.

The previous prime is 102035201111. The next prime is 102035201141. The reversal of 102035201130 is 31102530201.

102035201130 is a `hidden beast` number, since 10 + 2 + 0 + 3 + 520 + 1 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 81171998649 + 20863202481 = 284907^2 + 144441^2 .

It is a super-2 number, since 2×102035201130² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153354 + ... + 1238666.

Almost surely, 2^102035201130 is an apocalyptic number.

102035201130 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 102035201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134993024712).

102035201130 is an abundant number, since it is smaller than the sum of its proper divisors (167950848294).

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

102035201130 is a wasteful number, since it uses less digits than its factorization.

102035201130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85560 (or 85557 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 102035201130 its reverse (31102530201), we get a palindrome (133137731331).

The spelling of 102035201130 in words is "one hundred two billion, thirty-five million, two hundred one thousand, one hundred thirty".