103132210201020 has 2304 divisors, whose sum is σ = 472522188902400. Its totient is φ = 17489585111040.

The previous prime is 103132210200923. The next prime is 103132210201043. The reversal of 103132210201020 is 20102012231301.

103132210201020 is a `hidden beast` number, since 10 + 313 + 221 + 0 + 20 + 102 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103132210200984 and 103132210201002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3286647691 + ... + 3286679069.

It is an arithmetic number, because the mean of its divisors is an integer number (205087755600).

Almost surely, 2^{103132210201020} is an apocalyptic number.

103132210201020 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 103132210201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236261094451200).

103132210201020 is an abundant number, since it is smaller than the sum of its proper divisors (369389978701380).

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

103132210201020 is a wasteful number, since it uses less digits than its factorization.

103132210201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31508 (or 31503 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103132210201020 its reverse (20102012231301), we get a palindrome (123234222432321).

The spelling of 103132210201020 in words is "one hundred three trillion, one hundred thirty-two billion, two hundred ten million, two hundred one thousand, twenty".