1001100101022 has 96 divisors (see below), whose sum is σ = 2517301725120. Its totient is φ = 281613127680.

The previous prime is 1001100101011. The next prime is 1001100101123. The reversal of 1001100101022 is 2201010011001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001100100995 and 1001100101013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5138022 + ... + 5329302.

It is an arithmetic number, because the mean of its divisors is an integer number (26221892970).

Almost surely, 2^{1001100101022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001100101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258650862560).

1001100101022 is an abundant number, since it is smaller than the sum of its proper divisors (1516201624098).

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

1001100101022 is a wasteful number, since it uses less digits than its factorization.

1001100101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191938 (or 191935 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001100101022 its reverse (2201010011001), we get a palindrome (3202110112023).

The spelling of 1001100101022 in words is "one trillion, one billion, one hundred million, one hundred one thousand, twenty-two".