2020101002100 has 54 divisors (see below), whose sum is σ = 6331894366070. Its totient is φ = 538693600320.

The previous prime is 2020101002099. The next prime is 2020101002107. The reversal of 2020101002100 is 12001010202.

It can be written as a sum of positive squares in 3 ways, for example, as 40637721744 + 1979463280356 = 201588^2 + 1406934^2 .

It is a super-3 number, since 3×2020101002100³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020101002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1122277435 + ... + 1122279234.

Almost surely, 2^{2020101002100} is an apocalyptic number.

2020101002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020101002100 is an abundant number, since it is smaller than the sum of its proper divisors (4311793363970).

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

2020101002100 is a wasteful number, since it uses less digits than its factorization.

2020101002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244556689 (or 2244556679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2020101002100 its reverse (12001010202), we get a palindrome (2032102012302).

The spelling of 2020101002100 in words is "two trillion, twenty billion, one hundred one million, two thousand, one hundred".