20100213000000 has 1176 divisors, whose sum is σ = 84538372894976. Its totient is φ = 4469644800000.

The previous prime is 20100212999947. The next prime is 20100213000029. The reversal of 20100213000000 is 31200102.

It is a happy number.

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

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

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 2330995689 + ... + 2331004311.

Almost surely, 2^{20100213000000} is an apocalyptic number.

20100213000000 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 20100213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42269186447488).

20100213000000 is an abundant number, since it is smaller than the sum of its proper divisors (64438159894976).

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

20100213000000 is an frugal number, since it uses more digits than its factorization.

20100213000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8715 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20100213000000 its reverse (31200102), we get a palindrome (20100244200102).

The spelling of 20100213000000 in words is "twenty trillion, one hundred billion, two hundred thirteen million", and thus it is an aban number.