101201121221022 has 48 divisors (see below), whose sum is σ = 225209310192672. Its totient is φ = 32819941506240.

The previous prime is 101201121220987. The next prime is 101201121221023. The reversal of 101201121221022 is 220122121102101.

101201121221022 is a `hidden beast` number, since 101 + 201 + 121 + 221 + 0 + 22 = 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 = 101201121220986 and 101201121221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201121221023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5991072 + ... + 15436812.

It is an arithmetic number, because the mean of its divisors is an integer number (4691860629014).

Almost surely, 2^{101201121221022} is an apocalyptic number.

101201121221022 is an abundant number, since it is smaller than the sum of its proper divisors (124008188971650).

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

101201121221022 is a wasteful number, since it uses less digits than its factorization.

101201121221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9461873 (or 9461870 counting only the distinct ones).

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

Adding to 101201121221022 its reverse (220122121102101), we get a palindrome (321323242323123).

The spelling of 101201121221022 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, twenty-two".