101000010048 has 112 divisors (see below), whose sum is σ = 311902961664. Its totient is φ = 28243146240.

The previous prime is 101000010047. The next prime is 101000010187. The reversal of 101000010048 is 840010000101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×101000010048² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000010047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736288 + ... + 862623.

It is an arithmetic number, because the mean of its divisors is an integer number (2784847872).

Almost surely, 2^101000010048 is an apocalyptic number.

It is an amenable number.

101000010048 is an abundant number, since it is smaller than the sum of its proper divisors (210902951616).

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

101000010048 is a wasteful number, since it uses less digits than its factorization.

101000010048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598980 (or 1598970 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101000010048 its reverse (840010000101), we get a palindrome (941010010149).

The spelling of 101000010048 in words is "one hundred one billion, ten thousand, forty-eight".