1011101220100 has 72 divisors (see below), whose sum is σ = 2219453931968. Its totient is φ = 399779452800.

The previous prime is 1011101220097. The next prime is 1011101220161. The reversal of 1011101220100 is 10221011101.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 5544370 + ... + 5723830.

Almost surely, 2^{1011101220100} is an apocalyptic number.

1011101220100 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 1011101220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109726965984).

1011101220100 is an abundant number, since it is smaller than the sum of its proper divisors (1208352711868).

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

1011101220100 is a wasteful number, since it uses less digits than its factorization.

1011101220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180125 (or 180118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011101220100 its reverse (10221011101), we get a palindrome (1021322231201).

The spelling of 1011101220100 in words is "one trillion, eleven billion, one hundred one million, two hundred twenty thousand, one hundred".