101003100000 has 576 divisors, whose sum is σ = 365880582144. Its totient is φ = 24192000000.

The previous prime is 101003099971. The next prime is 101003100001. The reversal of 101003100000 is 1300101.

It is a super-2 number, since 2×101003100000² (a number of 23 digits) contains 22 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419099880 + ... + 419100120.

It is an arithmetic number, because the mean of its divisors is an integer number (635209344).

Almost surely, 2^101003100000 is an apocalyptic number.

101003100000 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 101003100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182940291072).

101003100000 is an abundant number, since it is smaller than the sum of its proper divisors (264877482144).

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

101003100000 is a wasteful number, since it uses less digits than its factorization.

101003100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 389 counting only the distinct ones).

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

Adding to 101003100000 its reverse (1300101), we get a palindrome (101004400101).

The spelling of 101003100000 in words is "one hundred one billion, three million, one hundred thousand".