101002101001011 has 96 divisors (see below), whose sum is σ = 186534404679168. Its totient is φ = 53295542576640.

The previous prime is 101002101000959. The next prime is 101002101001033. The reversal of 101002101001011 is 110100101200101.

101002101001011 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 101002101001011 - 2²⁶ = 101002033892147 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101002101000984 and 101002101001002.

It is not an unprimeable number, because it can be changed into a prime (101002101001051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31418605 + ... + 34483806.

It is an arithmetic number, because the mean of its divisors is an integer number (1943066715408).

Almost surely, 2^{101002101001011} is an apocalyptic number.

101002101001011 is a deficient number, since it is larger than the sum of its proper divisors (85532303678157).

101002101001011 is an equidigital number, since it uses as much as digits as its factorization.

101002101001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65902503 (or 65902491 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101002101001011 its reverse (110100101200101), we get a palindrome (211102202201112).

The spelling of 101002101001011 in words is "one hundred one trillion, two billion, one hundred one million, one thousand, eleven".