101012101021011 has 16 divisors (see below), whose sum is σ = 134737680245760. Its totient is φ = 67313962278240.

The previous prime is 101012101020997. The next prime is 101012101021019. The reversal of 101012101021011 is 110120101210101.

It is not a de Polignac number, because 101012101021011 - 2¹³ = 101012101012819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101012101021019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537573406 + ... + 537761276.

It is an arithmetic number, because the mean of its divisors is an integer number (8421105015360).

Almost surely, 2^{101012101021011} is an apocalyptic number.

101012101021011 is a deficient number, since it is larger than the sum of its proper divisors (33725579224749).

101012101021011 is a wasteful number, since it uses less digits than its factorization.

101012101021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259946.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101012101021011 its reverse (110120101210101), we get a palindrome (211132202231112).

The spelling of 101012101021011 in words is "one hundred one trillion, twelve billion, one hundred one million, twenty-one thousand, eleven".