101122122220002 has 128 divisors (see below), whose sum is σ = 243120731616000. Its totient is φ = 30970688256000.

The previous prime is 101122122219997. The next prime is 101122122220003. The reversal of 101122122220002 is 200022221221101.

It is a happy number.

101122122220002 is a `hidden beast` number, since 10 + 11 + 221 + 222 + 200 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101122122220003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 643114149 + ... + 643271367.

It is an arithmetic number, because the mean of its divisors is an integer number (1899380715750).

Almost surely, 2^{101122122220002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122122220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121560365808000).

101122122220002 is an abundant number, since it is smaller than the sum of its proper divisors (141998609395998).

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

101122122220002 is a wasteful number, since it uses less digits than its factorization.

101122122220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161473 (or 161467 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101122122220002 its reverse (200022221221101), we get a palindrome (301144343441103).

The spelling of 101122122220002 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, two".