101121001102212 has 144 divisors (see below), whose sum is σ = 307362495605760. Its totient is φ = 25265628895104.

The previous prime is 101121001102157. The next prime is 101121001102229. The reversal of 101121001102212 is 212201100121101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101121001102191 and 101121001102200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187183008 + ... + 187722455.

It is an arithmetic number, because the mean of its divisors is an integer number (2134461775040).

Almost surely, 2^{101121001102212} is an apocalyptic number.

101121001102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121001102212 is an abundant number, since it is smaller than the sum of its proper divisors (206241494503548).

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

101121001102212 is a wasteful number, since it uses less digits than its factorization.

101121001102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374905522 (or 374905507 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121001102212 its reverse (212201100121101), we get a palindrome (313322101223313).

The spelling of 101121001102212 in words is "one hundred one trillion, one hundred twenty-one billion, one million, one hundred two thousand, two hundred twelve".