2120101002120 has 256 divisors, whose sum is σ = 6812190720000. Its totient is φ = 526607364096.

The previous prime is 2120101002119. The next prime is 2120101002127. The reversal of 2120101002120 is 212001010212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2120101002096 and 2120101002105.

It is not an unprimeable number, because it can be changed into a prime (2120101002127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25773216 + ... + 25855344.

It is an arithmetic number, because the mean of its divisors is an integer number (26610120000).

Almost surely, 2^{2120101002120} is an apocalyptic number.

2120101002120 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 2120101002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406095360000).

2120101002120 is an abundant number, since it is smaller than the sum of its proper divisors (4692089717880).

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

2120101002120 is a wasteful number, since it uses less digits than its factorization.

2120101002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82412 (or 82408 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2120101002120 its reverse (212001010212), we get a palindrome (2332102012332).

The spelling of 2120101002120 in words is "two trillion, one hundred twenty billion, one hundred one million, two thousand, one hundred twenty".