101001121100022 has 128 divisors (see below), whose sum is σ = 238244195331072. Its totient is φ = 28141789132800.

The previous prime is 101001121099951. The next prime is 101001121100029. The reversal of 101001121100022 is 220001121100101.

It is a super-2 number, since 2×101001121100022² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101001121099980 and 101001121100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001121100029) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 711891463 + ... + 712033325.

It is an arithmetic number, because the mean of its divisors is an integer number (1861282776024).

Almost surely, 2^{101001121100022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001121100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119122097665536).

101001121100022 is an abundant number, since it is smaller than the sum of its proper divisors (137243074231050).

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

101001121100022 is a wasteful number, since it uses less digits than its factorization.

101001121100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145126.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101001121100022 its reverse (220001121100101), we get a palindrome (321002242200123).

The spelling of 101001121100022 in words is "one hundred one trillion, one billion, one hundred twenty-one million, one hundred thousand, twenty-two".