101312101100 has 108 divisors (see below), whose sum is σ = 256140418464. Its totient is φ = 34681288320.

The previous prime is 101312101091. The next prime is 101312101123. The reversal of 101312101100 is 1101213101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3183869 + ... + 3215531.

Almost surely, 2^101312101100 is an apocalyptic number.

101312101100 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 101312101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128070209232).

101312101100 is an abundant number, since it is smaller than the sum of its proper divisors (154828317364).

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

101312101100 is a wasteful number, since it uses less digits than its factorization.

101312101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32344 (or 32330 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101312101100 its reverse (1101213101), we get a palindrome (102413314201).

The spelling of 101312101100 in words is "one hundred one billion, three hundred twelve million, one hundred one thousand, one hundred".