102211211201121 has 48 divisors (see below), whose sum is σ = 163417734604800. Its totient is φ = 61045949583360.

The previous prime is 102211211201101. The next prime is 102211211201129. The reversal of 102211211201121 is 121102112112201.

It is a happy number.

102211211201121 is a `hidden beast` number, since 1 + 0 + 221 + 121 + 1 + 201 + 121 = 666.

It is not a de Polignac number, because 102211211201121 - 2¹⁷ = 102211211070049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102211211201094 and 102211211201103.

It is not an unprimeable number, because it can be changed into a prime (102211211201129) 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, 25406560 + ... + 29153313.

It is an arithmetic number, because the mean of its divisors is an integer number (3404536137600).

Almost surely, 2^{102211211201121} is an apocalyptic number.

102211211201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102211211201121 is a deficient number, since it is larger than the sum of its proper divisors (61206523403679).

102211211201121 is a wasteful number, since it uses less digits than its factorization.

102211211201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54560166 (or 54560163 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102211211201121 its reverse (121102112112201), we get a palindrome (223313323313322).

The spelling of 102211211201121 in words is "one hundred two trillion, two hundred eleven billion, two hundred eleven million, two hundred one thousand, one hundred twenty-one".