2010100122120 has 128 divisors (see below), whose sum is σ = 6126505021440. Its totient is φ = 527491388160.

The previous prime is 2010100122029. The next prime is 2010100122131. The reversal of 2010100122120 is 212210010102.

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 = 2010100122096 and 2010100122105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7841499 + ... + 8093781.

It is an arithmetic number, because the mean of its divisors is an integer number (47863320480).

Almost surely, 2^{2010100122120} is an apocalyptic number.

2010100122120 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 2010100122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063252510720).

2010100122120 is an abundant number, since it is smaller than the sum of its proper divisors (4116404899320).

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

2010100122120 is a wasteful number, since it uses less digits than its factorization.

2010100122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253355 (or 253351 counting only the distinct ones).

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

Adding to 2010100122120 its reverse (212210010102), we get a palindrome (2222310132222).

The spelling of 2010100122120 in words is "two trillion, ten billion, one hundred million, one hundred twenty-two thousand, one hundred twenty".