10001100201400 has 192 divisors, whose sum is σ = 29537189498880. Its totient is φ = 3058410201600.

The previous prime is 10001100201383. The next prime is 10001100201401. The reversal of 10001100201400 is 410200110001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001100201401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5310424 + ... + 6942823.

It is an arithmetic number, because the mean of its divisors is an integer number (153839528640).

Almost surely, 2^{10001100201400} is an apocalyptic number.

10001100201400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001100201400 is an abundant number, since it is smaller than the sum of its proper divisors (19536089297480).

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

10001100201400 is a wasteful number, since it uses less digits than its factorization.

10001100201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12253334 (or 12253325 counting only the distinct ones).

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

Adding to 10001100201400 its reverse (410200110001), we get a palindrome (10411300311401).

The spelling of 10001100201400 in words is "ten trillion, one billion, one hundred million, two hundred one thousand, four hundred".