2121220100010 has 256 divisors, whose sum is σ = 6141288222720. Its totient is φ = 463330560000.

The previous prime is 2121220099967. The next prime is 2121220100017. The reversal of 2121220100010 is 100010221212.

It is not an unprimeable number, because it can be changed into a prime (2121220100017) 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, 8906985 + ... + 9142035.

It is an arithmetic number, because the mean of its divisors is an integer number (23989407120).

Almost surely, 2^{2121220100010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121220100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070644111360).

2121220100010 is an abundant number, since it is smaller than the sum of its proper divisors (4020068122710).

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

2121220100010 is a wasteful number, since it uses less digits than its factorization.

2121220100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235165.

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

Adding to 2121220100010 its reverse (100010221212), we get a palindrome (2221230321222).

The spelling of 2121220100010 in words is "two trillion, one hundred twenty-one billion, two hundred twenty million, one hundred thousand, ten".