20010100020120 has 256 divisors, whose sum is σ = 76234209868800. Its totient is φ = 4573421706240.

The previous prime is 20010100020089. The next prime is 20010100020121. The reversal of 20010100020120 is 2102000101002.

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 not an unprimeable number, because it can be changed into a prime (20010100020121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119977027 + ... + 120143693.

It is an arithmetic number, because the mean of its divisors is an integer number (297789882300).

Almost surely, 2^{20010100020120} is an apocalyptic number.

20010100020120 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 20010100020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38117104934400).

20010100020120 is an abundant number, since it is smaller than the sum of its proper divisors (56224109848680).

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

20010100020120 is a wasteful number, since it uses less digits than its factorization.

20010100020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182575 (or 182565 counting only the distinct ones).

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

Adding to 20010100020120 its reverse (2102000101002), we get a palindrome (22112100121122).

The spelling of 20010100020120 in words is "twenty trillion, ten billion, one hundred million, twenty thousand, one hundred twenty".