101121201101112 has 32 divisors (see below), whose sum is σ = 255165647644800. Its totient is φ = 33392047714784.

The previous prime is 101121201101099. The next prime is 101121201101143. The reversal of 101121201101112 is 211101102121101.

It is a super-2 number, since 2×101121201101112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101121201101091 and 101121201101100.

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, 19688704812 + ... + 19688709947.

It is an arithmetic number, because the mean of its divisors is an integer number (7973926488900).

Almost surely, 2^{101121201101112} is an apocalyptic number.

101121201101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121201101112 is an abundant number, since it is smaller than the sum of its proper divisors (154044446543688).

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

101121201101112 is a wasteful number, since it uses less digits than its factorization.

101121201101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39377414875 (or 39377414871 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101121201101112 its reverse (211101102121101), we get a palindrome (312222303222213).

The spelling of 101121201101112 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, one hundred one thousand, one hundred twelve".