2101021220322 has 96 divisors (see below), whose sum is σ = 4767987144960. Its totient is φ = 667960888320.

The previous prime is 2101021220321. The next prime is 2101021220323. The reversal of 2101021220322 is 2230221201012.

2101021220322 is a `hidden beast` number, since 2 + 101 + 0 + 21 + 220 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (2101021220321) and next prime (2101021220323).

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 = 2101021220295 and 2101021220304.

It is not an unprimeable number, because it can be changed into a prime (2101021220321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13795047 + ... + 13946517.

It is an arithmetic number, because the mean of its divisors is an integer number (49666532760).

Almost surely, 2^{2101021220322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101021220322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383993572480).

2101021220322 is an abundant number, since it is smaller than the sum of its proper divisors (2666965924638).

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

2101021220322 is a wasteful number, since it uses less digits than its factorization.

2101021220322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151928 (or 151925 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2101021220322 its reverse (2230221201012), we get a palindrome (4331242421334).

The spelling of 2101021220322 in words is "two trillion, one hundred one billion, twenty-one million, two hundred twenty thousand, three hundred twenty-two".