101101112202112 has 128 divisors (see below), whose sum is σ = 221936991050880. Its totient is φ = 45492067584000.

The previous prime is 101101112202031. The next prime is 101101112202131. The reversal of 101101112202112 is 211202211101101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851339923 + ... + 851458669.

It is an arithmetic number, because the mean of its divisors is an integer number (1733882742585).

Almost surely, 2^{101101112202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101112202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110968495525440).

101101112202112 is an abundant number, since it is smaller than the sum of its proper divisors (120835878848768).

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

101101112202112 is a wasteful number, since it uses less digits than its factorization.

101101112202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124860 (or 124848 counting only the distinct ones).

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

Adding to 101101112202112 its reverse (211202211101101), we get a palindrome (312303323303213).

The spelling of 101101112202112 in words is "one hundred one trillion, one hundred one billion, one hundred twelve million, two hundred two thousand, one hundred twelve".