101109890549712 has 160 divisors (see below), whose sum is σ = 287630559216000. Its totient is φ = 30350841937920.

The previous prime is 101109890549711. The next prime is 101109890549753. The reversal of 101109890549712 is 217945098901101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101109890549711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237419464 + ... + 237844952.

It is an arithmetic number, because the mean of its divisors is an integer number (1797690995100).

Almost surely, 2^{101109890549712} is an apocalyptic number.

101109890549712 is a gapful number since it is divisible by the number (12) 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 101109890549712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143815279608000).

101109890549712 is an abundant number, since it is smaller than the sum of its proper divisors (186520668666288).

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

101109890549712 is a wasteful number, since it uses less digits than its factorization.

101109890549712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429749 (or 429743 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 57.

The spelling of 101109890549712 in words is "one hundred one trillion, one hundred nine billion, eight hundred ninety million, five hundred forty-nine thousand, seven hundred twelve".