101224401311011 has 12 divisors (see below), whose sum is σ = 111263589457272. Its totient is φ = 92021848424000.

The previous prime is 101224401311009. The next prime is 101224401311051. The reversal of 101224401311011 is 110113104422101.

It is not a de Polignac number, because 101224401311011 - 2¹ = 101224401311009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101224401311051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35630331 + ... + 38366251.

It is an arithmetic number, because the mean of its divisors is an integer number (9271965788106).

Almost surely, 2^{101224401311011} is an apocalyptic number.

101224401311011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101224401311011 is a deficient number, since it is larger than the sum of its proper divisors (10039188146261).

101224401311011 is a wasteful number, since it uses less digits than its factorization.

101224401311011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041714 (or 3041703 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 101224401311011 its reverse (110113104422101), we get a palindrome (211337505733112).

The spelling of 101224401311011 in words is "one hundred one trillion, two hundred twenty-four billion, four hundred one million, three hundred eleven thousand, eleven".