101021110011011 has 8 divisors (see below), whose sum is σ = 101350451668080. Its totient is φ = 100692098855712.

The previous prime is 101021110010941. The next prime is 101021110011049. The reversal of 101021110011011 is 110110011120101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101021110011011 - 2⁴⁶ = 30652365833347 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101021110010983 and 101021110011001.

It is not an unprimeable number, because it can be changed into a prime (101021110811011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82013120 + ... + 83235773.

It is an arithmetic number, because the mean of its divisors is an integer number (12668806458510).

Almost surely, 2^{101021110011011} is an apocalyptic number.

101021110011011 is a deficient number, since it is larger than the sum of its proper divisors (329341657069).

101021110011011 is a wasteful number, since it uses less digits than its factorization.

101021110011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165250885.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101021110011011 its reverse (110110011120101), we get a palindrome (211131121131112).

The spelling of 101021110011011 in words is "one hundred one trillion, twenty-one billion, one hundred ten million, eleven thousand, eleven".