20105100000000 has 972 divisors, whose sum is σ = 73565997490440. Its totient is φ = 5280000000000.

The previous prime is 20105099999983. The next prime is 20105100000017. The reversal of 20105100000000 is 150102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20105099999983) and next prime (20105100000017).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 80099999875 + ... + 80100000125.

Almost surely, 2^{20105100000000} is an apocalyptic number.

20105100000000 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 20105100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36782998745220).

20105100000000 is an abundant number, since it is smaller than the sum of its proper divisors (53460897490440).

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

20105100000000 is an frugal number, since it uses more digits than its factorization.

20105100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

Adding to 20105100000000 its reverse (150102), we get a palindrome (20105100150102).

The spelling of 20105100000000 in words is "twenty trillion, one hundred five billion, one hundred million", and thus it is an aban number.