100000101111012 has 48 divisors (see below), whose sum is σ = 259299086719680. Its totient is φ = 33328280067264.

The previous prime is 100000101111007. The next prime is 100000101111017. The reversal of 100000101111012 is 210111101000001.

It is an interprime number because it is at equal distance from previous prime (100000101111007) and next prime (100000101111017).

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 = 100000101110985 and 100000101111003.

It is not an unprimeable number, because it can be changed into a prime (100000101111017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69941358 + ... + 71356805.

It is an arithmetic number, because the mean of its divisors is an integer number (5402064306660).

Almost surely, 2^{100000101111012} is an apocalyptic number.

100000101111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100000101111012 is an abundant number, since it is smaller than the sum of its proper divisors (159298985608668).

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

100000101111012 is a wasteful number, since it uses less digits than its factorization.

100000101111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141304729 (or 141304721 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100000101111012 its reverse (210111101000001), we get a palindrome (310111202111013).

The spelling of 100000101111012 in words is "one hundred trillion, one hundred one million, one hundred eleven thousand, twelve".