10201000011048 has 256 divisors, whose sum is σ = 35926924032000. Its totient is φ = 2604701491200.

The previous prime is 10201000011047. The next prime is 10201000011049. The reversal of 10201000011048 is 84011000010201.

10201000011048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10201000011047) and next prime (10201000011049).

It is a super-2 number, since 2×10201000011048² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10201000011048.

It is not an unprimeable number, because it can be changed into a prime (10201000011047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4216473 + ... + 6179048.

It is an arithmetic number, because the mean of its divisors is an integer number (140339547000).

Almost surely, 2^{10201000011048} is an apocalyptic number.

10201000011048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10201000011048 is an abundant number, since it is smaller than the sum of its proper divisors (25725924020952).

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

10201000011048 is a wasteful number, since it uses less digits than its factorization.

10201000011048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10395613 (or 10395603 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10201000011048 its reverse (84011000010201), we get a palindrome (94212000021249).

The spelling of 10201000011048 in words is "ten trillion, two hundred one billion, eleven thousand, forty-eight".