101010147248640 has 640 divisors, whose sum is σ = 384011695964160. Its totient is φ = 22170414809088.

The previous prime is 101010147248629. The next prime is 101010147248653. The reversal of 101010147248640 is 46842741010101.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133539021 + ... + 134293299.

It is an arithmetic number, because the mean of its divisors is an integer number (600018274944).

Almost surely, 2^{101010147248640} is an apocalyptic number.

101010147248640 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 101010147248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192005847982080).

101010147248640 is an abundant number, since it is smaller than the sum of its proper divisors (283001548715520).

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

101010147248640 is an equidigital number, since it uses as much as digits as its factorization.

101010147248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754412 (or 754396 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

Adding to 101010147248640 its reverse (46842741010101), we get a palindrome (147852888258741).

The spelling of 101010147248640 in words is "one hundred one trillion, ten billion, one hundred forty-seven million, two hundred forty-eight thousand, six hundred forty".