102229712347840 has 2688 divisors, whose sum is σ = 346194459426816. Its totient is φ = 28334186496000.

The previous prime is 102229712347831. The next prime is 102229712347843. The reversal of 102229712347840 is 48743217922201.

It is a happy number.

It is a super-2 number, since 2×102229712347840² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102229712347843) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 328712901285 + ... + 328712901595.

It is an arithmetic number, because the mean of its divisors is an integer number (128792581632).

Almost surely, 2^{102229712347840} is an apocalyptic number.

102229712347840 is a gapful number since it is divisible by the number (10) 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 102229712347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173097229713408).

102229712347840 is an abundant number, since it is smaller than the sum of its proper divisors (243964747078976).

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

102229712347840 is a wasteful number, since it uses less digits than its factorization.

102229712347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 102229712347840 in words is "one hundred two trillion, two hundred twenty-nine billion, seven hundred twelve million, three hundred forty-seven thousand, eight hundred forty".