101102212120122 has 24 divisors (see below), whose sum is σ = 219055480233876. Its totient is φ = 33700631633856.

The previous prime is 101102212120121. The next prime is 101102212120171. The reversal of 101102212120122 is 221021212201101.

101102212120122 is a `hidden beast` number, since 1 + 0 + 110 + 221 + 212 + 0 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74400613085241 + 26701599034881 = 8625579^2 + 5167359^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101102212120095 and 101102212120104.

It is not an unprimeable number, because it can be changed into a prime (101102212120121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2804733 + ... + 14493824.

Almost surely, 2^{101102212120122} is an apocalyptic number.

101102212120122 is an abundant number, since it is smaller than the sum of its proper divisors (117953268113754).

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

101102212120122 is a wasteful number, since it uses less digits than its factorization.

101102212120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17623262 (or 17623259 counting only the distinct ones).

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

Adding to 101102212120122 its reverse (221021212201101), we get a palindrome (322123424321223).

The spelling of 101102212120122 in words is "one hundred one trillion, one hundred two billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty-two".