100012101012 has 36 divisors (see below), whose sum is σ = 253631874496. Its totient is φ = 33228772560.

The previous prime is 100012100963. The next prime is 100012101019. The reversal of 100012101012 is 210101210001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 100012100985 and 100012101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012101019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4513564 + ... + 4535667.

Almost surely, 2^100012101012 is an apocalyptic number.

100012101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100012101012 is an abundant number, since it is smaller than the sum of its proper divisors (153619773484).

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

100012101012 is a wasteful number, since it uses less digits than its factorization.

100012101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9049548 (or 9049543 counting only the distinct ones).

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

Adding to 100012101012 its reverse (210101210001), we get a palindrome (310113311013).

It can be divided in two parts, 10001 and 2101012, that multiplied together give a palindrome (21012221012).

The spelling of 100012101012 in words is "one hundred billion, twelve million, one hundred one thousand, twelve".