20130400201100 has 216 divisors, whose sum is σ = 55258162751232. Its totient is φ = 6320295475200.

The previous prime is 20130400201081. The next prime is 20130400201139. The reversal of 20130400201100 is 110200403102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 183596 + ... + 6347795.

It is an arithmetic number, because the mean of its divisors is an integer number (255824827552).

Almost surely, 2^{20130400201100} is an apocalyptic number.

20130400201100 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 20130400201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27629081375616).

20130400201100 is an abundant number, since it is smaller than the sum of its proper divisors (35127762550132).

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

20130400201100 is a wasteful number, since it uses less digits than its factorization.

20130400201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6531473 (or 6531459 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20130400201100 its reverse (110200403102), we get a palindrome (20240600604202).

The spelling of 20130400201100 in words is "twenty trillion, one hundred thirty billion, four hundred million, two hundred one thousand, one hundred".