1001012101999 has 32 divisors (see below), whose sum is σ = 1252682073216. Its totient is φ = 778733291520.

The previous prime is 1001012101979. The next prime is 1001012102053. The reversal of 1001012101999 is 9991012101001.

1001012101999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001012101999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001012101909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15382659 + ... + 15447595.

It is an arithmetic number, because the mean of its divisors is an integer number (39146314788).

Almost surely, 2^{1001012101999} is an apocalyptic number.

1001012101999 is a deficient number, since it is larger than the sum of its proper divisors (251669971217).

1001012101999 is a wasteful number, since it uses less digits than its factorization.

1001012101999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67795.

The product of its (nonzero) digits is 1458, while the sum is 34.

It can be divided in two parts, 1001012 and 101999, that added together give a palindrome (1103011).

The spelling of 1001012101999 in words is "one trillion, one billion, twelve million, one hundred one thousand, nine hundred ninety-nine".