2020101332100 has 288 divisors, whose sum is σ = 6465868824576. Its totient is φ = 485171596800.

The previous prime is 2020101332083. The next prime is 2020101332101. The reversal of 2020101332100 is 12331010202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2020101332100.

It is not an unprimeable number, because it can be changed into a prime (2020101332101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7786677 + ... + 8041923.

Almost surely, 2^{2020101332100} is an apocalyptic number.

2020101332100 is a gapful number since it is divisible by the number (20) 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 2020101332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232934412288).

2020101332100 is an abundant number, since it is smaller than the sum of its proper divisors (4445767492476).

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

2020101332100 is a wasteful number, since it uses less digits than its factorization.

2020101332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255355 (or 255348 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2020101332100 its reverse (12331010202), we get a palindrome (2032432342302).

The spelling of 2020101332100 in words is "two trillion, twenty billion, one hundred one million, three hundred thirty-two thousand, one hundred".