2120101021220 has 384 divisors, whose sum is σ = 5699543270400. Its totient is φ = 658138521600.

The previous prime is 2120101021211. The next prime is 2120101021229. The reversal of 2120101021220 is 221201010212.

It is an interprime number because it is at equal distance from previous prime (2120101021211) and next prime (2120101021229).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2120101021195 and 2120101021204.

It is not an unprimeable number, because it can be changed into a prime (2120101021229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1017810299 + ... + 1017812381.

It is an arithmetic number, because the mean of its divisors is an integer number (14842560600).

Almost surely, 2^{2120101021220} is an apocalyptic number.

2120101021220 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 2120101021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849771635200).

2120101021220 is an abundant number, since it is smaller than the sum of its proper divisors (3579442249180).

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

2120101021220 is a wasteful number, since it uses less digits than its factorization.

2120101021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2120101021220 its reverse (221201010212), we get a palindrome (2341302031432).

The spelling of 2120101021220 in words is "two trillion, one hundred twenty billion, one hundred one million, twenty-one thousand, two hundred twenty".