11101001101920 has 480 divisors, whose sum is σ = 39574438596000. Its totient is φ = 2930382987264.

The previous prime is 11101001101903. The next prime is 11101001101921. The reversal of 11101001101920 is 2910110010111.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11101001101893 and 11101001101902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101001101921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 628693732 + ... + 628711388.

It is an arithmetic number, because the mean of its divisors is an integer number (82446747075).

Almost surely, 2^{11101001101920} is an apocalyptic number.

11101001101920 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 11101001101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19787219298000).

11101001101920 is an abundant number, since it is smaller than the sum of its proper divisors (28473437494080).

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

11101001101920 is a wasteful number, since it uses less digits than its factorization.

11101001101920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18172 (or 18155 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 11101001101920 in words is "eleven trillion, one hundred one billion, one million, one hundred one thousand, nine hundred twenty".