20010100210100 has 576 divisors, whose sum is σ = 59313643683840. Its totient is φ = 5657864601600.

The previous prime is 20010100210099. The next prime is 20010100210127. The reversal of 20010100210100 is 101200101002.

It is a super-3 number, since 3×20010100210100³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1603495661 + ... + 1603508139.

It is an arithmetic number, because the mean of its divisors is an integer number (102975075840).

Almost surely, 2^{20010100210100} is an apocalyptic number.

20010100210100 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 20010100210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29656821841920).

20010100210100 is an abundant number, since it is smaller than the sum of its proper divisors (39303543473740).

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

20010100210100 is a wasteful number, since it uses less digits than its factorization.

20010100210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12800 (or 12793 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20010100210100 its reverse (101200101002), we get a palindrome (20111300311102).

The spelling of 20010100210100 in words is "twenty trillion, ten billion, one hundred million, two hundred ten thousand, one hundred".