1100022101010 has 192 divisors, whose sum is σ = 3468563804160. Its totient is φ = 236425242240.

The previous prime is 1100022100999. The next prime is 1100022101041. The reversal of 1100022101010 is 101012200011.

It is a happy number.

It is a super-3 number, since 3×1100022101010³ (a number of 37 digits) contains 333 as substring.

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 = 1100022100983 and 1100022101001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211555 + ... + 1498265.

It is an arithmetic number, because the mean of its divisors is an integer number (18065436480).

Almost surely, 2^{1100022101010} is an apocalyptic number.

1100022101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100022101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734281902080).

1100022101010 is an abundant number, since it is smaller than the sum of its proper divisors (2368541703150).

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

1100022101010 is a wasteful number, since it uses less digits than its factorization.

1100022101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286813 (or 1286810 counting only the distinct ones).

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

Adding to 1100022101010 its reverse (101012200011), we get a palindrome (1201034301021).

Subtracting from 1100022101010 its reverse (101012200011), we obtain a palindrome (999009900999).

The spelling of 1100022101010 in words is "one trillion, one hundred billion, twenty-two million, one hundred one thousand, ten".