101002002000011 has 12 divisors (see below), whose sum is σ = 117501991280640. Its totient is φ = 86565874515120.

The previous prime is 101002001999953. The next prime is 101002002000013. The reversal of 101002002000011 is 110000200200101.

It is not a de Polignac number, because 101002002000011 - 2³⁴ = 100984822130827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002002000013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85958795 + ... + 87125876.

It is an arithmetic number, because the mean of its divisors is an integer number (9791832606720).

Almost surely, 2^{101002002000011} is an apocalyptic number.

101002002000011 is a deficient number, since it is larger than the sum of its proper divisors (16499989280629).

101002002000011 is a wasteful number, since it uses less digits than its factorization.

101002002000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173096594 (or 173096587 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101002002000011 its reverse (110000200200101), we get a palindrome (211002202200112).

The spelling of 101002002000011 in words is "one hundred one trillion, two billion, two million, eleven", and thus it is an aban number.