101000300100000 has 288 divisors, whose sum is σ = 378726893177472. Its totient is φ = 23085782400000.

The previous prime is 101000300099981. The next prime is 101000300100001. The reversal of 101000300100000 is 1003000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (101000300100001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21947691 + ... + 26147690.

It is an arithmetic number, because the mean of its divisors is an integer number (1315023934644).

Almost surely, 2^{101000300100000} is an apocalyptic number.

101000300100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000300100000 is an abundant number, since it is smaller than the sum of its proper divisors (277726593077472).

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

101000300100000 is an frugal number, since it uses more digits than its factorization.

101000300100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48095426 (or 48095398 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 101000300100000 its reverse (1003000101), we get a palindrome (101001303100101).

The spelling of 101000300100000 in words is "one hundred one trillion, three hundred million, one hundred thousand".