101120221202022 has 192 divisors, whose sum is σ = 249170272416000. Its totient is φ = 29365162295040.

The previous prime is 101120221201939. The next prime is 101120221202081. The reversal of 101120221202022 is 220202122021101.

It is a happy number.

101120221202022 is a `hidden beast` number, since 101 + 120 + 221 + 20 + 202 + 2 = 666.

It is a super-2 number, since 2×101120221202022² (a number of 29 digits) contains 22 as substring.

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 = 101120221201986 and 101120221202004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5845428729 + ... + 5845446027.

It is an arithmetic number, because the mean of its divisors is an integer number (1297761835500).

Almost surely, 2^{101120221202022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120221202022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124585136208000).

101120221202022 is an abundant number, since it is smaller than the sum of its proper divisors (148050051213978).

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

101120221202022 is a wasteful number, since it uses less digits than its factorization.

101120221202022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29331 (or 29328 counting only the distinct ones).

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

Adding to 101120221202022 its reverse (220202122021101), we get a palindrome (321322343223123).

The spelling of 101120221202022 in words is "one hundred one trillion, one hundred twenty billion, two hundred twenty-one million, two hundred two thousand, twenty-two".