10022001101100 has 216 divisors, whose sum is σ = 32434094085120. Its totient is φ = 2585736432000.

The previous prime is 10022001101089. The next prime is 10022001101149. The reversal of 10022001101100 is 110110022001.

It is a happy number.

It is a super-2 number, since 2×10022001101100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130505715 + ... + 130582485.

Almost surely, 2^{10022001101100} is an apocalyptic number.

10022001101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022001101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16217047042560).

10022001101100 is an abundant number, since it is smaller than the sum of its proper divisors (22412092984020).

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

10022001101100 is a wasteful number, since it uses less digits than its factorization.

10022001101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81501 (or 81491 counting only the distinct ones).

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

Adding to 10022001101100 its reverse (110110022001), we get a palindrome (10132111123101).

The spelling of 10022001101100 in words is "ten trillion, twenty-two billion, one million, one hundred one thousand, one hundred".