10102264062041 has 16 divisors (see below), whose sum is σ = 10270769414400. Its totient is φ = 9934793232000.

The previous prime is 10102264061977. The next prime is 10102264062047. The reversal of 10102264062041 is 14026046220101.

It is a cyclic number.

It is not a de Polignac number, because 10102264062041 - 2⁶ = 10102264061977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102264061995 and 10102264062013.

It is not an unprimeable number, because it can be changed into a prime (10102264062047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86879741 + ... + 86995941.

It is an arithmetic number, because the mean of its divisors is an integer number (641923088400).

Almost surely, 2^{10102264062041} is an apocalyptic number.

It is an amenable number.

10102264062041 is a deficient number, since it is larger than the sum of its proper divisors (168505352359).

10102264062041 is a wasteful number, since it uses less digits than its factorization.

10102264062041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120640.

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 10102264062041 in words is "ten trillion, one hundred two billion, two hundred sixty-four million, sixty-two thousand, forty-one".