101001941712 has 400 divisors, whose sum is σ = 349102989312. Its totient is φ = 27583960320.

The previous prime is 101001941699. The next prime is 101001941717. The reversal of 101001941712 is 217149100101.

It is a super-5 number, since 5×101001941712⁵ (a number of 56 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001941717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23340093 + ... + 23344419.

Almost surely, 2^101001941712 is an apocalyptic number.

101001941712 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 101001941712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174551494656).

101001941712 is an abundant number, since it is smaller than the sum of its proper divisors (248101047600).

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

101001941712 is a wasteful number, since it uses less digits than its factorization.

101001941712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 101001941712 in words is "one hundred one billion, one million, nine hundred forty-one thousand, seven hundred twelve".