1011102211100 has 72 divisors (see below), whose sum is σ = 2292892516320. Its totient is φ = 386281082880.

The previous prime is 1011102211079. The next prime is 1011102211103. The reversal of 1011102211100 is 11122011101.

It is a super-3 number, since 3×1011102211100³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011102211103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221296 + ... + 1874504.

Almost surely, 2^{1011102211100} is an apocalyptic number.

1011102211100 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 1011102211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146446258160).

1011102211100 is an abundant number, since it is smaller than the sum of its proper divisors (1281790305220).

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

1011102211100 is a wasteful number, since it uses less digits than its factorization.

1011102211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653919 (or 653912 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1011102211100 its reverse (11122011101), we get a palindrome (1022224222201).

The spelling of 1011102211100 in words is "one trillion, eleven billion, one hundred two million, two hundred eleven thousand, one hundred".