101040404213100 has 144 divisors (see below), whose sum is σ = 318979231522560. Its totient is φ = 24490113964800.

The previous prime is 101040404213083. The next prime is 101040404213101. The reversal of 101040404213100 is 1312404040101.

It is a super-2 number, since 2×101040404213100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101040404213101) 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, 15034681 + ... + 20691119.

It is an arithmetic number, because the mean of its divisors is an integer number (2215133552240).

Almost surely, 2^{101040404213100} is an apocalyptic number.

101040404213100 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 101040404213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159489615761280).

101040404213100 is an abundant number, since it is smaller than the sum of its proper divisors (217938827309460).

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

101040404213100 is a wasteful number, since it uses less digits than its factorization.

101040404213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5661880 (or 5661873 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101040404213100 its reverse (1312404040101), we get a palindrome (102352808253201).

The spelling of 101040404213100 in words is "one hundred one trillion, forty billion, four hundred four million, two hundred thirteen thousand, one hundred".