101000101001058 has 72 divisors (see below), whose sum is σ = 258876080526960. Its totient is φ = 28368067094640.

The previous prime is 101000101001057. The next prime is 101000101001201. The reversal of 101000101001058 is 850100101000101.

It is a happy number.

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 101000101001058.

It is not an unprimeable number, because it can be changed into a prime (101000101001057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 970393608 + ... + 970497683.

It is an arithmetic number, because the mean of its divisors is an integer number (3595501118430).

Almost surely, 2^{101000101001058} is an apocalyptic number.

101000101001058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

101000101001058 is an abundant number, since it is smaller than the sum of its proper divisors (157875979525902).

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

101000101001058 is a wasteful number, since it uses less digits than its factorization.

101000101001058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940891372 (or 1940891362 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

Adding to 101000101001058 its reverse (850100101000101), we get a palindrome (951100202001159).

The spelling of 101000101001058 in words is "one hundred one trillion, one hundred one million, one thousand, fifty-eight".