101100110220000 has 360 divisors, whose sum is σ = 362093231275776. Its totient is φ = 26747739648000.

The previous prime is 101100110219993. The next prime is 101100110220121. The reversal of 101100110220000 is 22011001101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×101100110220000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20648712 + ... + 25071288.

Almost surely, 2^{101100110220000} is an apocalyptic number.

101100110220000 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 101100110220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181046615637888).

101100110220000 is an abundant number, since it is smaller than the sum of its proper divisors (260993121055776).

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

101100110220000 is a wasteful number, since it uses less digits than its factorization.

101100110220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422740 (or 4422714 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101100110220000 its reverse (22011001101), we get a palindrome (101122121221101).

The spelling of 101100110220000 in words is "one hundred one trillion, one hundred billion, one hundred ten million, two hundred twenty thousand".