101001222122220 has 576 divisors, whose sum is σ = 363420507340800. Its totient is φ = 22223770675200.

The previous prime is 101001222122197. The next prime is 101001222122263. The reversal of 101001222122220 is 22221222100101.

It is a happy number.

101001222122220 is a `hidden beast` number, since 1 + 0 + 100 + 1 + 222 + 122 + 220 = 666.

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 = 101001222122193 and 101001222122202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7340731701 + ... + 7340745459.

It is an arithmetic number, because the mean of its divisors is an integer number (630938380800).

Almost surely, 2^{101001222122220} is an apocalyptic number.

101001222122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001222122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181710253670400).

101001222122220 is an abundant number, since it is smaller than the sum of its proper divisors (262419285218580).

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

101001222122220 is a wasteful number, since it uses less digits than its factorization.

101001222122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15478 (or 15473 counting only the distinct ones).

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

Adding to 101001222122220 its reverse (22221222100101), we get a palindrome (123222444222321).

The spelling of 101001222122220 in words is "one hundred one trillion, one billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty".