101714862145272 has 256 divisors, whose sum is σ = 282078607749120. Its totient is φ = 30400756531200.

The previous prime is 101714862145241. The next prime is 101714862145333. The reversal of 101714862145272 is 272541268417101.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13684223668 + ... + 13684231100.

It is an arithmetic number, because the mean of its divisors is an integer number (1101869561520).

Almost surely, 2^{101714862145272} is an apocalyptic number.

101714862145272 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 101714862145272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141039303874560).

101714862145272 is an abundant number, since it is smaller than the sum of its proper divisors (180363745603848).

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

101714862145272 is a wasteful number, since it uses less digits than its factorization.

101714862145272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13134 (or 13130 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 101714862145272 in words is "one hundred one trillion, seven hundred fourteen billion, eight hundred sixty-two million, one hundred forty-five thousand, two hundred seventy-two".