101100001111020 has 288 divisors, whose sum is σ = 329697508847616. Its totient is φ = 25027637644800.

The previous prime is 101100001111019. The next prime is 101100001111127. The reversal of 101100001111020 is 20111100001101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101100001110993 and 101100001111011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11210187 + ... + 18107133.

It is an arithmetic number, because the mean of its divisors is an integer number (1144783016832).

Almost surely, 2^{101100001111020} is an apocalyptic number.

101100001111020 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 101100001111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164848754423808).

101100001111020 is an abundant number, since it is smaller than the sum of its proper divisors (228597507736596).

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

101100001111020 is a wasteful number, since it uses less digits than its factorization.

101100001111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6897101 (or 6897096 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101100001111020 its reverse (20111100001101), we get a palindrome (121211101112121).

The spelling of 101100001111020 in words is "one hundred one trillion, one hundred billion, one million, one hundred eleven thousand, twenty".