101001102011 has 16 divisors (see below), whose sum is σ = 102428440800. Its totient is φ = 99582912000.

The previous prime is 101001101983. The next prime is 101001102019. The reversal of 101001102011 is 110201100101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101001102011 - 2¹⁰ = 101001100987 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101001102011.

It is not an unprimeable number, because it can be changed into a prime (101001102019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49777745 + ... + 49779773.

It is an arithmetic number, because the mean of its divisors is an integer number (6401777550).

Almost surely, 2^101001102011 is an apocalyptic number.

101001102011 is a deficient number, since it is larger than the sum of its proper divisors (1427338789).

101001102011 is a wasteful number, since it uses less digits than its factorization.

101001102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101001102011 its reverse (110201100101), we get a palindrome (211202202112).

It can be divided in two parts, 10100 and 1102011, that added together give a palindrome (1112111).

The spelling of 101001102011 in words is "one hundred one billion, one million, one hundred two thousand, eleven".