101103101321100 has 144 divisors (see below), whose sum is σ = 296568479735808. Its totient is φ = 26588244072960.

The previous prime is 101103101321069. The next prime is 101103101321119. The reversal of 101103101321100 is 1123101301101.

It is a super-2 number, since 2×101103101321100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101103101321100.

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, 181206757 + ... + 181763843.

Almost surely, 2^{101103101321100} is an apocalyptic number.

101103101321100 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 101103101321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148284239867904).

101103101321100 is an abundant number, since it is smaller than the sum of its proper divisors (195465378414708).

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

101103101321100 is a wasteful number, since it uses less digits than its factorization.

101103101321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565464 (or 565457 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101103101321100 its reverse (1123101301101), we get a palindrome (102226202622201).

The spelling of 101103101321100 in words is "one hundred one trillion, one hundred three billion, one hundred one million, three hundred twenty-one thousand, one hundred".