101002000111011 has 6 divisors (see below), whose sum is σ = 145891777938140. Its totient is φ = 67334666740668.

The previous prime is 101002000110929. The next prime is 101002000111013. The reversal of 101002000111011 is 110111000200101.

It is not a de Polignac number, because 101002000111011 - 2¹⁴ = 101002000094627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11222444456779 = 101002000111011 / (1 + 0 + 1 + 0 + 0 + 2 + 0 + 0 + 0 + 1 + 1 + 1 + 0 + 1 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101002000110984 and 101002000111002.

It is not an unprimeable number, because it can be changed into a prime (101002000111013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611222228381 + ... + 5611222228398.

Almost surely, 2^{101002000111011} is an apocalyptic number.

101002000111011 is a deficient number, since it is larger than the sum of its proper divisors (44889777827129).

101002000111011 is a wasteful number, since it uses less digits than its factorization.

101002000111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11222444456785 (or 11222444456782 counting only the distinct ones).

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

Adding to 101002000111011 its reverse (110111000200101), we get a palindrome (211113000311112).

The spelling of 101002000111011 in words is "one hundred one trillion, two billion, one hundred eleven thousand, eleven".