101000101120011 has 24 divisors (see below), whose sum is σ = 149833104233904. Its totient is φ = 65513088342720.

The previous prime is 101000101119989. The next prime is 101000101120099. The reversal of 101000101120011 is 110021101000101.

It is not a de Polignac number, because 101000101120011 - 2⁹ = 101000101119499 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 = 101000101119975 and 101000101120002.

It is not an unprimeable number, because it can be changed into a prime (101000101120111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46361380 + ... + 48491006.

It is an arithmetic number, because the mean of its divisors is an integer number (6243046009746).

Almost surely, 2^{101000101120011} is an apocalyptic number.

101000101120011 is a deficient number, since it is larger than the sum of its proper divisors (48833003113893).

101000101120011 is a wasteful number, since it uses less digits than its factorization.

101000101120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272091 (or 2272088 counting only the distinct ones).

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

Adding to 101000101120011 its reverse (110021101000101), we get a palindrome (211021202120112).

The spelling of 101000101120011 in words is "one hundred one trillion, one hundred one million, one hundred twenty thousand, eleven".