101010110021011 has 16 divisors (see below), whose sum is σ = 106607968534080. Its totient is φ = 95517157120000.

The previous prime is 101010110020913. The next prime is 101010110021077. The reversal of 101010110021011 is 110120011010101.

It is a cyclic number.

It is not a de Polignac number, because 101010110021011 - 2²⁷ = 101009975803283 is a prime.

It is a super-2 number, since 2×101010110021011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101010110021081) 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, 48943990 + ... + 50966011.

It is an arithmetic number, because the mean of its divisors is an integer number (6662998033380).

Almost surely, 2^{101010110021011} is an apocalyptic number.

101010110021011 is a deficient number, since it is larger than the sum of its proper divisors (5597858513069).

101010110021011 is a wasteful number, since it uses less digits than its factorization.

101010110021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99910526.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101010110021011 its reverse (110120011010101), we get a palindrome (211130121031112).

The spelling of 101010110021011 in words is "one hundred one trillion, ten billion, one hundred ten million, twenty-one thousand, eleven".