2122422134100 has 144 divisors (see below), whose sum is σ = 6250511275008. Its totient is φ = 555923237760.

The previous prime is 2122422134047. The next prime is 2122422134113. The reversal of 2122422134100 is 14312242212.

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, 6822549 + ... + 7126851.

Almost surely, 2^{2122422134100} is an apocalyptic number.

2122422134100 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 2122422134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125255637504).

2122422134100 is an abundant number, since it is smaller than the sum of its proper divisors (4128089140908).

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

2122422134100 is a wasteful number, since it uses less digits than its factorization.

2122422134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304734 (or 304727 counting only the distinct ones).

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

Adding to 2122422134100 its reverse (14312242212), we get a palindrome (2136734376312).

It can be divided in two parts, 2122422 and 134100, that added together give a palindrome (2256522).

The spelling of 2122422134100 in words is "two trillion, one hundred twenty-two billion, four hundred twenty-two million, one hundred thirty-four thousand, one hundred".