20010120102100 has 144 divisors (see below), whose sum is σ = 46160329022080. Its totient is φ = 7507659571200.

The previous prime is 20010120102029. The next prime is 20010120102121. The reversal of 20010120102100 is 120102101002.

It is a super-3 number, since 3×20010120102100³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 47 ways as a sum of consecutive naturals, for example, 1691037784 + ... + 1691049616.

Almost surely, 2^{20010120102100} is an apocalyptic number.

20010120102100 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 20010120102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23080164511040).

20010120102100 is an abundant number, since it is smaller than the sum of its proper divisors (26150208919980).

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

20010120102100 is a wasteful number, since it uses less digits than its factorization.

20010120102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20610 (or 20603 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20010120102100 its reverse (120102101002), we get a palindrome (20130222203102).

The spelling of 20010120102100 in words is "twenty trillion, ten billion, one hundred twenty million, one hundred two thousand, one hundred".