214401402012100 has 72 divisors (see below), whose sum is σ = 476737488676008. Its totient is φ = 83644462387200.

The previous prime is 214401402012029. The next prime is 214401402012157. The reversal of 214401402012100 is 1210204104412.

It can be written as a sum of positive squares in 12 ways, for example, as 172049602765824 + 42351799246276 = 13116768^2 + 6507826^2 .

It is a super-2 number, since 2×214401402012100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6459072 + ... + 21691528.

It is an arithmetic number, because the mean of its divisors is an integer number (6621354009389).

Almost surely, 2^{214401402012100} is an apocalyptic number.

214401402012100 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 214401402012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238368744338004).

214401402012100 is an abundant number, since it is smaller than the sum of its proper divisors (262336086663908).

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

214401402012100 is a wasteful number, since it uses less digits than its factorization.

214401402012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15235945 (or 15235938 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 214401402012100 its reverse (1210204104412), we get a palindrome (215611606116512).

The spelling of 214401402012100 in words is "two hundred fourteen trillion, four hundred one billion, four hundred two million, twelve thousand, one hundred".