101121212011120 has 40 divisors (see below), whose sum is σ = 268693506202464. Its totient is φ = 34670129832192.

The previous prime is 101121212011111. The next prime is 101121212011151. The reversal of 101121212011120 is 21110212121101.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 101121212011094 and 101121212011103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90286795879 + ... + 90286796998.

Almost surely, 2^{101121212011120} is an apocalyptic number.

101121212011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121212011120 is an abundant number, since it is smaller than the sum of its proper divisors (167572294191344).

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

101121212011120 is a wasteful number, since it uses less digits than its factorization.

101121212011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180573592897 (or 180573592891 counting only the distinct ones).

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

Adding to 101121212011120 its reverse (21110212121101), we get a palindrome (122231424132221).

The spelling of 101121212011120 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twelve million, eleven thousand, one hundred twenty".