2121011010010 has 128 divisors (see below), whose sum is σ = 4313097123840. Its totient is φ = 747081216000.

The previous prime is 2121011009947. The next prime is 2121011010011. The reversal of 2121011010010 is 100101101212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2121011010011) 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, 23357395 + ... + 23448025.

It is an arithmetic number, because the mean of its divisors is an integer number (33696071280).

Almost surely, 2^{2121011010010} is an apocalyptic number.

2121011010010 is an abundant number, since it is smaller than the sum of its proper divisors (2192086113830).

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

2121011010010 is a wasteful number, since it uses less digits than its factorization.

2121011010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90832.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2121011010010 its reverse (100101101212), we get a palindrome (2221112111222).

The spelling of 2121011010010 in words is "two trillion, one hundred twenty-one billion, eleven million, ten thousand, ten".