101011247651104 has 576 divisors, whose sum is σ = 245866994860032. Its totient is φ = 40676641689600.

The previous prime is 101011247651087. The next prime is 101011247651107. The reversal of 101011247651104 is 401156742110101.

It is a self number, because there is not a number n which added to its sum of digits gives 101011247651104.

It is not an unprimeable number, because it can be changed into a prime (101011247651107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69807357709 + ... + 69807359155.

It is an arithmetic number, because the mean of its divisors is an integer number (426852421632).

Almost surely, 2^{101011247651104} is an apocalyptic number.

101011247651104 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 101011247651104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122933497430016).

101011247651104 is an abundant number, since it is smaller than the sum of its proper divisors (144855747208928).

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

101011247651104 is a wasteful number, since it uses less digits than its factorization.

101011247651104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 34.

Adding to 101011247651104 its reverse (401156742110101), we get a palindrome (502167989761205).

The spelling of 101011247651104 in words is "one hundred one trillion, eleven billion, two hundred forty-seven million, six hundred fifty-one thousand, one hundred four".