100012100000 has 72 divisors (see below), whose sum is σ = 246108021516. Its totient is φ = 40004800000.

The previous prime is 100012099981. The next prime is 100012100057. The reversal of 100012100000 is 1210001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 72658576 + 99939441424 = 8524^2 + 316132^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400061 + ... + 600060.

Almost surely, 2^100012100000 is an apocalyptic number.

100012100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012100000 is an abundant number, since it is smaller than the sum of its proper divisors (146095921516).

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

100012100000 is an frugal number, since it uses more digits than its factorization.

100012100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000156 (or 1000128 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100012100000 its reverse (1210001), we get a palindrome (100013310001).

It can be divided in two parts, 1000 and 12100000, that multiplied together give a square (12100000000 = 110000²).

The spelling of 100012100000 in words is "one hundred billion, twelve million, one hundred thousand".