20010200100000 has 1152 divisors, whose sum is σ = 77322511042560. Its totient is φ = 4479552000000.

The previous prime is 20010200099987. The next prime is 20010200100013. The reversal of 20010200100000 is 100201002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20010200099987) and next prime (20010200100013).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2201095455 + ... + 2201104545.

It is an arithmetic number, because the mean of its divisors is an integer number (67120235280).

Almost surely, 2^{20010200100000} is an apocalyptic number.

20010200100000 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 20010200100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38661255521280).

20010200100000 is an abundant number, since it is smaller than the sum of its proper divisors (57312310942560).

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

20010200100000 is a wasteful number, since it uses less digits than its factorization.

20010200100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192 (or 9164 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20010200100000 its reverse (100201002), we get a palindrome (20010300301002).

It can be divided in two parts, 20010 and 200100000, that multiplied together give a square (4004001000000 = 2001000²).

The spelling of 20010200100000 in words is "twenty trillion, ten billion, two hundred million, one hundred thousand".