102212112211121 has 8 divisors (see below), whose sum is σ = 111509975568288. Its totient is φ = 92915224380000.

The previous prime is 102212112211093. The next prime is 102212112211193. The reversal of 102212112211121 is 121112211212201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102212112211121 - 2³⁴ = 102194932341937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212112211093 and 102212112211102.

It is not an unprimeable number, because it can be changed into a prime (102212112211721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243662420 + ... + 244081541.

It is an arithmetic number, because the mean of its divisors is an integer number (13938746946036).

Almost surely, 2^{102212112211121} is an apocalyptic number.

102212112211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212112211121 is a deficient number, since it is larger than the sum of its proper divisors (9297863357167).

102212112211121 is a wasteful number, since it uses less digits than its factorization.

102212112211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487763023.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 102212112211121 its reverse (121112211212201), we get a palindrome (223324323423322).

The spelling of 102212112211121 in words is "one hundred two trillion, two hundred twelve billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty-one".