101100211120000 has 160 divisors (see below), whose sum is σ = 252875507841000. Its totient is φ = 40248418560000.

The previous prime is 101100211119997. The next prime is 101100211120039. The reversal of 101100211120000 is 21112001101.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13885326 + ... + 19874674.

Almost surely, 2^{101100211120000} is an apocalyptic number.

101100211120000 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 101100211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126437753920500).

101100211120000 is an abundant number, since it is smaller than the sum of its proper divisors (151775296721000).

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

101100211120000 is an frugal number, since it uses more digits than its factorization.

101100211120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5989594 (or 5989567 counting only the distinct ones).

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

Adding to 101100211120000 its reverse (21112001101), we get a palindrome (101121323121101).

The spelling of 101100211120000 in words is "one hundred one trillion, one hundred billion, two hundred eleven million, one hundred twenty thousand".