102001866624 has 448 divisors, whose sum is σ = 366565968000. Its totient is φ = 27606168576.

The previous prime is 102001866601. The next prime is 102001866647. The reversal of 102001866624 is 426668100201.

It is an interprime number because it is at equal distance from previous prime (102001866601) and next prime (102001866647).

It is a tau number, because it is divible by the number of its divisors (448).

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 55 ways as a sum of consecutive naturals, for example, 12406387 + ... + 12414605.

Almost surely, 2^102001866624 is an apocalyptic number.

102001866624 is a gapful number since it is divisible by the number (14) 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 102001866624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183282984000).

102001866624 is an abundant number, since it is smaller than the sum of its proper divisors (264564101376).

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

102001866624 is an frugal number, since it uses more digits than its factorization.

102001866624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8277 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 102001866624 its reverse (426668100201), we get a palindrome (528669966825).

The spelling of 102001866624 in words is "one hundred two billion, one million, eight hundred sixty-six thousand, six hundred twenty-four".