10001201111022 has 128 divisors (see below), whose sum is σ = 23095909416960. Its totient is φ = 2857467824640.

The previous prime is 10001201110981. The next prime is 10001201111023. The reversal of 10001201111022 is 22011110210001.

It is a junction number, because it is equal to n+sod(n) for n = 10001201110989 and 10001201111007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001201111023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72723958 + ... + 72861350.

It is an arithmetic number, because the mean of its divisors is an integer number (180436792320).

Almost surely, 2^{10001201111022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001201111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11547954708480).

10001201111022 is an abundant number, since it is smaller than the sum of its proper divisors (13094708305938).

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

10001201111022 is a wasteful number, since it uses less digits than its factorization.

10001201111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138118.

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

Adding to 10001201111022 its reverse (22011110210001), we get a palindrome (32012311321023).

The spelling of 10001201111022 in words is "ten trillion, one billion, two hundred one million, one hundred eleven thousand, twenty-two".