101058608100 has 144 divisors (see below), whose sum is σ = 309191210496. Its totient is φ = 25443456000.

The previous prime is 101058608093. The next prime is 101058608117. The reversal of 101058608100 is 1806850101.

It is a happy number.

It is a super-2 number, since 2×101058608100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248782 + ... + 513818.

It is an arithmetic number, because the mean of its divisors is an integer number (2147161184).

Almost surely, 2^101058608100 is an apocalyptic number.

101058608100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101058608100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154595605248).

101058608100 is an abundant number, since it is smaller than the sum of its proper divisors (208132602396).

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

101058608100 is a wasteful number, since it uses less digits than its factorization.

101058608100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265126 (or 265119 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

The spelling of 101058608100 in words is "one hundred one billion, fifty-eight million, six hundred eight thousand, one hundred".