101011011020101 has 128 divisors (see below), whose sum is σ = 135879437675520. Its totient is φ = 72839596032000.

The previous prime is 101011011020077. The next prime is 101011011020167. The reversal of 101011011020101 is 101020110110101.

It is not a de Polignac number, because 101011011020101 - 2⁵ = 101011011020069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011011021101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1816031071 + ... + 1816086691.

It is an arithmetic number, because the mean of its divisors is an integer number (1061558106840).

Almost surely, 2^{101011011020101} is an apocalyptic number.

It is an amenable number.

101011011020101 is a deficient number, since it is larger than the sum of its proper divisors (34868426655419).

101011011020101 is a wasteful number, since it uses less digits than its factorization.

101011011020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56015.

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

Adding to 101011011020101 its reverse (101020110110101), we get a palindrome (202031121130202).

The spelling of 101011011020101 in words is "one hundred one trillion, eleven billion, eleven million, twenty thousand, one hundred one".