2122101020 has 48 divisors (see below), whose sum is σ = 4810860768. Its totient is φ = 781643520.

The previous prime is 2122101017. The next prime is 2122101029. The reversal of 2122101020 is 201012212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2122100992 and 2122101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122101029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99767 + ... + 119153.

It is an arithmetic number, because the mean of its divisors is an integer number (100226266).

Almost surely, 2^2122101020 is an apocalyptic number.

2122101020 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 2122101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405430384).

2122101020 is an abundant number, since it is smaller than the sum of its proper divisors (2688759748).

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

2122101020 is a wasteful number, since it uses less digits than its factorization.

2122101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19830 (or 19828 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2122101020 is about 46066.2677020833. The cubic root of 2122101020 is about 1285.0558944533.

Adding to 2122101020 its reverse (201012212), we get a palindrome (2323113232).

The spelling of 2122101020 in words is "two billion, one hundred twenty-two million, one hundred one thousand, twenty".