2124201101022 has 288 divisors, whose sum is σ = 6492752308224. Its totient is φ = 492869059200.

The previous prime is 2124201100943. The next prime is 2124201101081. The reversal of 2124201101022 is 2201011024212.

2124201101022 is a `hidden beast` number, since 212 + 420 + 1 + 1 + 0 + 10 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2124201100986 and 2124201101004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3638263 + ... + 4181549.

It is an arithmetic number, because the mean of its divisors is an integer number (22544278848).

Almost surely, 2^{2124201101022} is an apocalyptic number.

2124201101022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124201101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246376154112).

2124201101022 is an abundant number, since it is smaller than the sum of its proper divisors (4368551207202).

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

2124201101022 is a wasteful number, since it uses less digits than its factorization.

2124201101022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543364 (or 543354 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2124201101022 its reverse (2201011024212), we get a palindrome (4325212125234).

The spelling of 2124201101022 in words is "two trillion, one hundred twenty-four billion, two hundred one million, one hundred one thousand, twenty-two".