2101122010002 has 8 divisors (see below), whose sum is σ = 4202244020016. Its totient is φ = 700374003332.

The previous prime is 2101122009991. The next prime is 2101122010007. The reversal of 2101122010002 is 2000102211012.

It is a sphenic number, since it is the product of 3 distinct primes.

2101122010002 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 2101122010002.

It is not an unprimeable number, because it can be changed into a prime (2101122010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175093500828 + ... + 175093500839.

It is an arithmetic number, because the mean of its divisors is an integer number (525280502502).

Almost surely, 2^{2101122010002} is an apocalyptic number.

2101122010002 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2101122010002 is a wasteful number, since it uses less digits than its factorization.

2101122010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350187001672.

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

Adding to 2101122010002 its reverse (2000102211012), we get a palindrome (4101224221014).

The spelling of 2101122010002 in words is "two trillion, one hundred one billion, one hundred twenty-two million, ten thousand, two".