2100012121220 has 48 divisors (see below), whose sum is σ = 4796280600048. Its totient is φ = 767711961600.

The previous prime is 2100012121219. The next prime is 2100012121241. The reversal of 2100012121220 is 221212100012.

It can be written as a sum of positive squares in 8 ways, for example, as 201795014656 + 1898217106564 = 449216^2 + 1377758^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2100012121195 and 2100012121204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39958739 + ... + 40011258.

It is an arithmetic number, because the mean of its divisors is an integer number (99922512501).

Almost surely, 2^{2100012121220} is an apocalyptic number.

2100012121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100012121220 is an abundant number, since it is smaller than the sum of its proper divisors (2696268478828).

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

2100012121220 is a wasteful number, since it uses less digits than its factorization.

2100012121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79970120 (or 79970118 counting only the distinct ones).

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

Adding to 2100012121220 its reverse (221212100012), we get a palindrome (2321224221232).

The spelling of 2100012121220 in words is "two trillion, one hundred billion, twelve million, one hundred twenty-one thousand, two hundred twenty".