214154141100 has 108 divisors (see below), whose sum is σ = 640252661832. Its totient is φ = 55265510400.

The previous prime is 214154141041. The next prime is 214154141101. The reversal of 214154141100 is 1141451412.

It is a happy number.

It is a super-3 number, since 3×214154141100³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (214154141101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83109 + ... + 659708.

Almost surely, 2^214154141100 is an apocalyptic number.

214154141100 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 214154141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320126330916).

214154141100 is an abundant number, since it is smaller than the sum of its proper divisors (426098520732).

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

214154141100 is a wasteful number, since it uses less digits than its factorization.

214154141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742896 (or 742858 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 214154141100 its reverse (1141451412), we get a palindrome (215295592512).

The spelling of 214154141100 in words is "two hundred fourteen billion, one hundred fifty-four million, one hundred forty-one thousand, one hundred".