101120200112022 has 128 divisors (see below), whose sum is σ = 255710968009728. Its totient is φ = 25940931955200.

The previous prime is 101120200112003. The next prime is 101120200112023. The reversal of 101120200112022 is 220211002021101.

101120200112022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101120200111992 and 101120200112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120200112023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70828497 + ... + 72242067.

It is an arithmetic number, because the mean of its divisors is an integer number (1997741937576).

Almost surely, 2^{101120200112022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120200112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127855484004864).

101120200112022 is an abundant number, since it is smaller than the sum of its proper divisors (154590767897706).

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

101120200112022 is a wasteful number, since it uses less digits than its factorization.

101120200112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417174.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101120200112022 its reverse (220211002021101), we get a palindrome (321331202133123).

The spelling of 101120200112022 in words is "one hundred one trillion, one hundred twenty billion, two hundred million, one hundred twelve thousand, twenty-two".