102272727272730 has 384 divisors, whose sum is σ = 296324083296000. Its totient is φ = 22513283444736.

The previous prime is 102272727272717. The next prime is 102272727272731. The reversal of 102272727272730 is 37272727272201.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102272727272731) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 943308004 + ... + 943416416.

It is an arithmetic number, because the mean of its divisors is an integer number (771677300250).

Almost surely, 2^{102272727272730} is an apocalyptic number.

102272727272730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102272727272730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148162041648000).

102272727272730 is an abundant number, since it is smaller than the sum of its proper divisors (194051356023270).

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

102272727272730 is a wasteful number, since it uses less digits than its factorization.

102272727272730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108718 (or 108711 counting only the distinct ones).

The product of its (nonzero) digits is 3226944, while the sum is 51.

The spelling of 102272727272730 in words is "one hundred two trillion, two hundred seventy-two billion, seven hundred twenty-seven million, two hundred seventy-two thousand, seven hundred thirty".