100101311322012 has 288 divisors, whose sum is σ = 354508994810880. Its totient is φ = 22956822282240.

The previous prime is 100101311321993. The next prime is 100101311322049. The reversal of 100101311322012 is 210223113101001.

100101311322012 is a `hidden beast` number, since 10 + 0 + 10 + 1 + 311 + 322 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59558437 + ... + 61216092.

It is an arithmetic number, because the mean of its divisors is an integer number (1230934009760).

Almost surely, 2^{100101311322012} is an apocalyptic number.

100101311322012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101311322012 is an abundant number, since it is smaller than the sum of its proper divisors (254407683488868).

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

100101311322012 is a wasteful number, since it uses less digits than its factorization.

100101311322012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120774593 (or 120774588 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100101311322012 its reverse (210223113101001), we get a palindrome (310324424423013).

The spelling of 100101311322012 in words is "one hundred trillion, one hundred one billion, three hundred eleven million, three hundred twenty-two thousand, twelve".