101111211201020 has 24 divisors (see below), whose sum is σ = 215021309899200. Its totient is φ = 39932528980032.

The previous prime is 101111211201019. The next prime is 101111211201023. The reversal of 101111211201020 is 20102112111101.

It is a junction number, because it is equal to n+sod(n) for n = 101111211200986 and 101111211201004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111211201023) 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 7 ways as a sum of consecutive naturals, for example, 31997217155 + ... + 31997220314.

It is an arithmetic number, because the mean of its divisors is an integer number (8959221245800).

Almost surely, 2^{101111211201020} is an apocalyptic number.

101111211201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111211201020 is an abundant number, since it is smaller than the sum of its proper divisors (113910098698180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101111211201020 is a wasteful number, since it uses less digits than its factorization.

101111211201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63994437557 (or 63994437555 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101111211201020 its reverse (20102112111101), we get a palindrome (121213323312121).

The spelling of 101111211201020 in words is "one hundred one trillion, one hundred eleven billion, two hundred eleven million, two hundred one thousand, twenty".