214103332001000 has 256 divisors, whose sum is σ = 541605323750400. Its totient is φ = 78751540224000.

The previous prime is 214103332000951. The next prime is 214103332001059. The reversal of 214103332001000 is 100233301412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3770790611 + ... + 3770847389.

It is an arithmetic number, because the mean of its divisors is an integer number (2115645795900).

Almost surely, 2^{214103332001000} is an apocalyptic number.

214103332001000 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 214103332001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270802661875200).

214103332001000 is an abundant number, since it is smaller than the sum of its proper divisors (327501991749400).

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

214103332001000 is a wasteful number, since it uses less digits than its factorization.

214103332001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57917 (or 57903 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 214103332001000 its reverse (100233301412), we get a palindrome (214203565302412).

The spelling of 214103332001000 in words is "two hundred fourteen trillion, one hundred three billion, three hundred thirty-two million, one thousand".