2120121202020 has 192 divisors, whose sum is σ = 6192248961024. Its totient is φ = 541579115520.

The previous prime is 2120121201983. The next prime is 2120121202049. The reversal of 2120121202020 is 202021210212.

It is a super-2 number, since 2×2120121202020² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

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, 33249489 + ... + 33313191.

It is an arithmetic number, because the mean of its divisors is an integer number (32251296672).

Almost surely, 2^{2120121202020} is an apocalyptic number.

2120121202020 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 2120121202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096124480512).

2120121202020 is an abundant number, since it is smaller than the sum of its proper divisors (4072127759004).

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

2120121202020 is a wasteful number, since it uses less digits than its factorization.

2120121202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64002 (or 64000 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2120121202020 its reverse (202021210212), we get a palindrome (2322142412232).

The spelling of 2120121202020 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, two hundred two thousand, twenty".