101101122111000 has 256 divisors, whose sum is σ = 344444690304000. Its totient is φ = 24485628288000.

The previous prime is 101101122110993. The next prime is 101101122111019. The reversal of 101101122111000 is 111221101101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 32606101 + ... + 35571899.

It is an arithmetic number, because the mean of its divisors is an integer number (1345487071500).

Almost surely, 2^{101101122111000} is an apocalyptic number.

101101122111000 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 101101122111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172222345152000).

101101122111000 is an abundant number, since it is smaller than the sum of its proper divisors (243343568193000).

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

101101122111000 is a wasteful number, since it uses less digits than its factorization.

101101122111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966867 (or 2966853 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101101122111000 its reverse (111221101101), we get a palindrome (101212343212101).

The spelling of 101101122111000 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-two million, one hundred eleven thousand".