101021221120122 has 24 divisors (see below), whose sum is σ = 224217832243860. Its totient is φ = 32852429632320.

The previous prime is 101021221120109. The next prime is 101021221120139. The reversal of 101021221120122 is 221021122120101.

101021221120122 is a `hidden beast` number, since 10 + 10 + 212 + 211 + 201 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97402510071441 + 3618711048681 = 9869271^2 + 1902291^2 .

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 = 101021221120095 and 101021221120104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68442560997 + ... + 68442562472.

Almost surely, 2^{101021221120122} is an apocalyptic number.

101021221120122 is an abundant number, since it is smaller than the sum of its proper divisors (123196611123738).

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

101021221120122 is a wasteful number, since it uses less digits than its factorization.

101021221120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136885123518 (or 136885123515 counting only the distinct ones).

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

Adding to 101021221120122 its reverse (221021122120101), we get a palindrome (322042343240223).

The spelling of 101021221120122 in words is "one hundred one trillion, twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty-two".