217142014100 has 216 divisors, whose sum is σ = 537507264000. Its totient is φ = 76003488000.

The previous prime is 217142014099. The next prime is 217142014109. The reversal of 217142014100 is 1410241712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217142014109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74643446 + ... + 74646354.

Almost surely, 2^217142014100 is an apocalyptic number.

217142014100 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 217142014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268753632000).

217142014100 is an abundant number, since it is smaller than the sum of its proper divisors (320365249900).

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

217142014100 is a wasteful number, since it uses less digits than its factorization.

217142014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 217142014100 its reverse (1410241712), we get a palindrome (218552255812).

The spelling of 217142014100 in words is "two hundred seventeen billion, one hundred forty-two million, fourteen thousand, one hundred".