2101021121220 has 384 divisors, whose sum is σ = 7001505423360. Its totient is φ = 460591595520.

The previous prime is 2101021121183. The next prime is 2101021121233. The reversal of 2101021121220 is 221211201012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101021121220.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1536956977 + ... + 1536958343.

It is an arithmetic number, because the mean of its divisors is an integer number (18233087040).

Almost surely, 2^{2101021121220} is an apocalyptic number.

2101021121220 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 2101021121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500752711680).

2101021121220 is an abundant number, since it is smaller than the sum of its proper divisors (4900484302140).

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

2101021121220 is a wasteful number, since it uses less digits than its factorization.

2101021121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2101021121220 its reverse (221211201012), we get a palindrome (2322232322232).

The spelling of 2101021121220 in words is "two trillion, one hundred one billion, twenty-one million, one hundred twenty-one thousand, two hundred twenty".