2134101221200 has 120 divisors (see below), whose sum is σ = 5523095233656. Its totient is φ = 787759104000.

The previous prime is 2134101221183. The next prime is 2134101221221. The reversal of 2134101221200 is 21221014312.

It can be written as a sum of positive squares in 12 ways, for example, as 1246759829056 + 887341392144 = 1116584^2 + 941988^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19502640 + ... + 19611760.

Almost surely, 2^{2134101221200} is an apocalyptic number.

2134101221200 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 2134101221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761547616828).

2134101221200 is an abundant number, since it is smaller than the sum of its proper divisors (3388994012456).

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

2134101221200 is a wasteful number, since it uses less digits than its factorization.

2134101221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112913 (or 112902 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 2134101221200 its reverse (21221014312), we get a palindrome (2155322235512).

The spelling of 2134101221200 in words is "two trillion, one hundred thirty-four billion, one hundred one million, two hundred twenty-one thousand, two hundred".