214355100120 has 192 divisors, whose sum is σ = 748323360000. Its totient is φ = 48977913600.

The previous prime is 214355100109. The next prime is 214355100173. The reversal of 214355100120 is 21001553412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23815381 + ... + 23824379.

It is an arithmetic number, because the mean of its divisors is an integer number (3897517500).

Almost surely, 2^214355100120 is an apocalyptic number.

214355100120 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 214355100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374161680000).

214355100120 is an abundant number, since it is smaller than the sum of its proper divisors (533968259880).

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

214355100120 is a wasteful number, since it uses less digits than its factorization.

214355100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13078 (or 13067 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 214355100120 its reverse (21001553412), we get a palindrome (235356653532).

The spelling of 214355100120 in words is "two hundred fourteen billion, three hundred fifty-five million, one hundred thousand, one hundred twenty".