101021110201011 has 64 divisors (see below), whose sum is σ = 185736790987776. Its totient is φ = 47132456256000.

The previous prime is 101021110201009. The next prime is 101021110201027. The reversal of 101021110201011 is 110102011120101.

It is not a de Polignac number, because 101021110201011 - 2¹ = 101021110201009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101021110201051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 454484340 + ... + 454706561.

It is an arithmetic number, because the mean of its divisors is an integer number (2902137359184).

Almost surely, 2^{101021110201011} is an apocalyptic number.

101021110201011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101021110201011 is a deficient number, since it is larger than the sum of its proper divisors (84715680786765).

101021110201011 is a wasteful number, since it uses less digits than its factorization.

101021110201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909190972.

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

Adding to 101021110201011 its reverse (110102011120101), we get a palindrome (211123121321112).

The spelling of 101021110201011 in words is "one hundred one trillion, twenty-one billion, one hundred ten million, two hundred one thousand, eleven".