2001102121099 has 16 divisors (see below), whose sum is σ = 2028571084800. Its totient is φ = 1973802184416.

The previous prime is 2001102121061. The next prime is 2001102121159. The reversal of 2001102121099 is 9901212011002.

It is a cyclic number.

It is not a de Polignac number, because 2001102121099 - 2⁷ = 2001102120971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001102121009) by changing a digit.

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, 28773442 + ... + 28842904.

It is an arithmetic number, because the mean of its divisors is an integer number (126785692800).

Almost surely, 2^{2001102121099} is an apocalyptic number.

2001102121099 is a deficient number, since it is larger than the sum of its proper divisors (27468963701).

2001102121099 is a wasteful number, since it uses less digits than its factorization.

2001102121099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70674.

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 2001102121099 in words is "two trillion, one billion, one hundred two million, one hundred twenty-one thousand, ninety-nine".