101200021100022 has 64 divisors (see below), whose sum is σ = 223927807057920. Its totient is φ = 30287756628864.

The previous prime is 101200021100021. The next prime is 101200021100027. The reversal of 101200021100022 is 220001120002101.

It is a junction number, because it is equal to n+sod(n) for n = 101200021099980 and 101200021100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200021100021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4296043 + ... + 14861225.

It is an arithmetic number, because the mean of its divisors is an integer number (3498871985280).

Almost surely, 2^{101200021100022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101200021100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111963903528960).

101200021100022 is an abundant number, since it is smaller than the sum of its proper divisors (122727785957898).

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

101200021100022 is a wasteful number, since it uses less digits than its factorization.

101200021100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10568557.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101200021100022 its reverse (220001120002101), we get a palindrome (321201141102123).

The spelling of 101200021100022 in words is "one hundred one trillion, two hundred billion, twenty-one million, one hundred thousand, twenty-two".