101130023333100 has 288 divisors, whose sum is σ = 305583281418240. Its totient is φ = 25789736448000.

The previous prime is 101130023333093. The next prime is 101130023333117. The reversal of 101130023333100 is 1333320031101.

It is a super-2 number, since 2×101130023333100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1446105135 + ... + 1446175065.

It is an arithmetic number, because the mean of its divisors is an integer number (1061053060480).

Almost surely, 2^{101130023333100} is an apocalyptic number.

101130023333100 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 101130023333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152791640709120).

101130023333100 is an abundant number, since it is smaller than the sum of its proper divisors (204453258085140).

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

101130023333100 is a wasteful number, since it uses less digits than its factorization.

101130023333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71561 (or 71554 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 101130023333100 its reverse (1333320031101), we get a palindrome (102463343364201).

The spelling of 101130023333100 in words is "one hundred one trillion, one hundred thirty billion, twenty-three million, three hundred thirty-three thousand, one hundred".