1011002211168 has 192 divisors, whose sum is σ = 2872842577920. Its totient is φ = 310097313792.

The previous prime is 1011002211133. The next prime is 1011002211169. The reversal of 1011002211168 is 8611122001101.

It is a super-3 number, since 3×1011002211168³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011002211169) 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, 77387805 + ... + 77400867.

It is an arithmetic number, because the mean of its divisors is an integer number (14962721760).

Almost surely, 2^{1011002211168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011002211168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436421288960).

1011002211168 is an abundant number, since it is smaller than the sum of its proper divisors (1861840366752).

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

1011002211168 is a wasteful number, since it uses less digits than its factorization.

1011002211168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14149 (or 14141 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 24.

Adding to 1011002211168 its reverse (8611122001101), we get a palindrome (9622124212269).

The spelling of 1011002211168 in words is "one trillion, eleven billion, two million, two hundred eleven thousand, one hundred sixty-eight".