100201100001012 has 18 divisors (see below), whose sum is σ = 253286113891538. Its totient is φ = 33400366666992.

The previous prime is 100201100001001. The next prime is 100201100001019. The reversal of 100201100001012 is 210100001102001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 50474147594256 + 49726952406756 = 7104516^2 + 7051734^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100201100000985 and 100201100001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201100001019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1391681944423 + ... + 1391681944494.

Almost surely, 2^{100201100001012} is an apocalyptic number.

100201100001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100201100001012 is an abundant number, since it is smaller than the sum of its proper divisors (153085013890526).

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

100201100001012 is a wasteful number, since it uses less digits than its factorization.

100201100001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783363888927 (or 2783363888922 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100201100001012 its reverse (210100001102001), we get a palindrome (310301101103013).

The spelling of 100201100001012 in words is "one hundred trillion, two hundred one billion, one hundred million, one thousand, twelve".