101002247712 has 144 divisors (see below), whose sum is σ = 297301717440. Its totient is φ = 32487630336.

The previous prime is 101002247669. The next prime is 101002247729. The reversal of 101002247712 is 217742200101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25613613 + ... + 25617555.

It is an arithmetic number, because the mean of its divisors is an integer number (2064595260).

Almost surely, 2^101002247712 is an apocalyptic number.

101002247712 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 101002247712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148650858720).

101002247712 is an abundant number, since it is smaller than the sum of its proper divisors (196299469728).

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

101002247712 is a wasteful number, since it uses less digits than its factorization.

101002247712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7055 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 101002247712 its reverse (217742200101), we get a palindrome (318744447813).

The spelling of 101002247712 in words is "one hundred one billion, two million, two hundred forty-seven thousand, seven hundred twelve".