1011012221100 has 144 divisors (see below), whose sum is σ = 3344298451200. Its totient is φ = 231004312320.

The previous prime is 1011012221041. The next prime is 1011012221111. The reversal of 1011012221100 is 11222101101.

It is a super-2 number, since 2×1011012221100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5770591 + ... + 5943209.

It is an arithmetic number, because the mean of its divisors is an integer number (23224294800).

Almost surely, 2^{1011012221100} is an apocalyptic number.

1011012221100 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 1011012221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672149225600).

1011012221100 is an abundant number, since it is smaller than the sum of its proper divisors (2333286230100).

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

1011012221100 is a wasteful number, since it uses less digits than its factorization.

1011012221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175432 (or 175425 counting only the distinct ones).

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

Adding to 1011012221100 its reverse (11222101101), we get a palindrome (1022234322201).

The spelling of 1011012221100 in words is "one trillion, eleven billion, twelve million, two hundred twenty-one thousand, one hundred".