101221212200121 has 48 divisors (see below), whose sum is σ = 165749349292800. Its totient is φ = 59009059789056.

The previous prime is 101221212200063. The next prime is 101221212200123. The reversal of 101221212200121 is 121002212122101.

101221212200121 is a `hidden beast` number, since 10 + 1 + 221 + 212 + 200 + 1 + 21 = 666.

It is not a de Polignac number, because 101221212200121 - 2³⁷ = 101083773246649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101221212200094 and 101221212200103.

It is not an unprimeable number, because it can be changed into a prime (101221212200123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52242736 + ... + 54145598.

It is an arithmetic number, because the mean of its divisors is an integer number (3453111443600).

Almost surely, 2^{101221212200121} is an apocalyptic number.

It is an amenable number.

101221212200121 is a deficient number, since it is larger than the sum of its proper divisors (64528137092679).

101221212200121 is a wasteful number, since it uses less digits than its factorization.

101221212200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926830 (or 1926827 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101221212200121 its reverse (121002212122101), we get a palindrome (222223424322222).

The spelling of 101221212200121 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twelve million, two hundred thousand, one hundred twenty-one".