2120122221102 has 128 divisors (see below), whose sum is σ = 4984652736000. Its totient is φ = 666100869120.

The previous prime is 2120122221043. The next prime is 2120122221103. The reversal of 2120122221102 is 2011222210212.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120122221103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 453693838 + ... + 453698510.

It is an arithmetic number, because the mean of its divisors is an integer number (38942599500).

Almost surely, 2^{2120122221102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120122221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492326368000).

2120122221102 is an abundant number, since it is smaller than the sum of its proper divisors (2864530514898).

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

2120122221102 is a wasteful number, since it uses less digits than its factorization.

2120122221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863 (or 6857 counting only the distinct ones).

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

Adding to 2120122221102 its reverse (2011222210212), we get a palindrome (4131344431314).

The spelling of 2120122221102 in words is "two trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred two".