101222122122121 has 96 divisors (see below), whose sum is σ = 142093790092800. Its totient is φ = 70837717708800.

The previous prime is 101222122122113. The next prime is 101222122122133. The reversal of 101222122122121 is 121221221222101.

It is not a de Polignac number, because 101222122122121 - 2³ = 101222122122113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101222122122092 and 101222122122101.

It is not an unprimeable number, because it can be changed into a prime (101222122122101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104954305 + ... + 105914353.

It is an arithmetic number, because the mean of its divisors is an integer number (1480143646800).

Almost surely, 2^{101222122122121} is an apocalyptic number.

101222122122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101222122122121 is a deficient number, since it is larger than the sum of its proper divisors (40871667970679).

101222122122121 is a wasteful number, since it uses less digits than its factorization.

101222122122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960495 (or 960488 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 101222122122121 its reverse (121221221222101), we get a palindrome (222443343344222).

The spelling of 101222122122121 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".