201034124214 has 128 divisors (see below), whose sum is σ = 506348236800. Its totient is φ = 51691370880.

The previous prime is 201034124149. The next prime is 201034124293. The reversal of 201034124214 is 412421430102.

It is a super-2 number, since 2×201034124214² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 18767092 + ... + 18777800.

It is an arithmetic number, because the mean of its divisors is an integer number (3955845600).

Almost surely, 2^201034124214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201034124214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253174118400).

201034124214 is an abundant number, since it is smaller than the sum of its proper divisors (305314112586).

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

201034124214 is a wasteful number, since it uses less digits than its factorization.

201034124214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11138.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201034124214 its reverse (412421430102), we get a palindrome (613455554316).

The spelling of 201034124214 in words is "two hundred one billion, thirty-four million, one hundred twenty-four thousand, two hundred fourteen".