102241101457152 has 2592 divisors, whose sum is σ = 396679433203200. Its totient is φ = 25368410456064.

The previous prime is 102241101457127. The next prime is 102241101457189. The reversal of 102241101457152 is 251754101142201.

102241101457152 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 41 + 10 + 1 + 457 + 152 = 666.

It is a super-2 number, since 2×102241101457152² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 746285412028 + ... + 746285412164.

Almost surely, 2^{102241101457152} is an apocalyptic number.

102241101457152 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 102241101457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198339716601600).

102241101457152 is an abundant number, since it is smaller than the sum of its proper divisors (294438331746048).

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

102241101457152 is a wasteful number, since it uses less digits than its factorization.

102241101457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

Adding to 102241101457152 its reverse (251754101142201), we get a palindrome (353995202599353).

The spelling of 102241101457152 in words is "one hundred two trillion, two hundred forty-one billion, one hundred one million, four hundred fifty-seven thousand, one hundred fifty-two".