10001214011024 has 40 divisors (see below), whose sum is σ = 20054373339000. Its totient is φ = 4826043887616.

The previous prime is 10001214010973. The next prime is 10001214011069. The reversal of 10001214011024 is 42011041210001.

It can be written as a sum of positive squares in 4 ways, for example, as 1350085972624 + 8651128038400 = 1161932^2 + 2941280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10001214010993 and 10001214011011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3696929 + ... + 5802560.

It is an arithmetic number, because the mean of its divisors is an integer number (501359333475).

Almost surely, 2^{10001214011024} is an apocalyptic number.

It is an amenable number.

10001214011024 is an abundant number, since it is smaller than the sum of its proper divisors (10053159327976).

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

10001214011024 is a wasteful number, since it uses less digits than its factorization.

10001214011024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9501795 (or 9501789 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10001214011024 its reverse (42011041210001), we get a palindrome (52012255221025).

The spelling of 10001214011024 in words is "ten trillion, one billion, two hundred fourteen million, eleven thousand, twenty-four".