102211751550672 has 240 divisors, whose sum is σ = 301757135771520. Its totient is φ = 32207699865600.

The previous prime is 102211751550647. The next prime is 102211751550679. The reversal of 102211751550672 is 276055157112201.

102211751550672 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 1 + 75 + 1 + 5 + 506 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211751550679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2417418172 + ... + 2417460452.

It is an arithmetic number, because the mean of its divisors is an integer number (1257321399048).

Almost surely, 2^{102211751550672} is an apocalyptic number.

102211751550672 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 102211751550672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150878567885760).

102211751550672 is an abundant number, since it is smaller than the sum of its proper divisors (199545384220848).

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

102211751550672 is a wasteful number, since it uses less digits than its factorization.

102211751550672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44202 (or 44193 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 102211751550672 in words is "one hundred two trillion, two hundred eleven billion, seven hundred fifty-one million, five hundred fifty thousand, six hundred seventy-two".