101212201111120 has 80 divisors (see below), whose sum is σ = 256773158466048. Its totient is φ = 36795517483520.

The previous prime is 101212201111117. The next prime is 101212201111121. The reversal of 101212201111120 is 21111102212101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101212201111094 and 101212201111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212201111121) 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, 10302559 + ... + 17566078.

Almost surely, 2^{101212201111120} is an apocalyptic number.

101212201111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212201111120 is an abundant number, since it is smaller than the sum of its proper divisors (155560957354928).

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

101212201111120 is a wasteful number, since it uses less digits than its factorization.

101212201111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27872788 (or 27872782 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101212201111120 its reverse (21111102212101), we get a palindrome (122323303323221).

The spelling of 101212201111120 in words is "one hundred one trillion, two hundred twelve billion, two hundred one million, one hundred eleven thousand, one hundred twenty".