10101101121180 has 96 divisors (see below), whose sum is σ = 31429874710080. Its totient is φ = 2693264670720.

The previous prime is 10101101121179. The next prime is 10101101121229. The reversal of 10101101121180 is 8112110110101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2772540 + ... + 5281020.

It is an arithmetic number, because the mean of its divisors is an integer number (327394528230).

Almost surely, 2^{10101101121180} is an apocalyptic number.

10101101121180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101101121180 is an abundant number, since it is smaller than the sum of its proper divisors (21328773588900).

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

10101101121180 is a wasteful number, since it uses less digits than its factorization.

10101101121180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515956 (or 2515948 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 10101101121180 its reverse (8112110110101), we get a palindrome (18213211231281).

The spelling of 10101101121180 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred twenty-one thousand, one hundred eighty".