20401103303100 has 216 divisors, whose sum is σ = 68869325987280. Its totient is φ = 5021498787840.

The previous prime is 20401103303093. The next prime is 20401103303129. The reversal of 20401103303100 is 130330110402.

20401103303100 is a `hidden beast` number, since 20 + 4 + 0 + 1 + 1 + 0 + 330 + 310 + 0 = 666.

It is a super-2 number, since 2×20401103303100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 230902132 + ... + 230990468.

Almost surely, 2^{20401103303100} is an apocalyptic number.

20401103303100 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 20401103303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34434662993640).

20401103303100 is an abundant number, since it is smaller than the sum of its proper divisors (48468222684180).

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

20401103303100 is a wasteful number, since it uses less digits than its factorization.

20401103303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108109 (or 108099 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20401103303100 its reverse (130330110402), we get a palindrome (20531433413502).

The spelling of 20401103303100 in words is "twenty trillion, four hundred one billion, one hundred three million, three hundred three thousand, one hundred".