101111102121120 has 1536 divisors, whose sum is σ = 418643338788864. Its totient is φ = 19939206758400.

The previous prime is 101111102121049. The next prime is 101111102121131. The reversal of 101111102121120 is 21121201111101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101111102121120.

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 255 ways as a sum of consecutive naturals, for example, 6863824155 + ... + 6863838885.

It is an arithmetic number, because the mean of its divisors is an integer number (272554257024).

Almost surely, 2^{101111102121120} is an apocalyptic number.

101111102121120 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 101111102121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209321669394432).

101111102121120 is an abundant number, since it is smaller than the sum of its proper divisors (317532236667744).

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

101111102121120 is a wasteful number, since it uses less digits than its factorization.

101111102121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14974 (or 14966 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101111102121120 its reverse (21121201111101), we get a palindrome (122232303232221).

The spelling of 101111102121120 in words is "one hundred one trillion, one hundred eleven billion, one hundred two million, one hundred twenty-one thousand, one hundred twenty".