100101101010012 has 144 divisors (see below), whose sum is σ = 275812504111872. Its totient is φ = 31683326463360.

The previous prime is 100101101010007. The next prime is 100101101010073. The reversal of 100101101010012 is 210010101101001.

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 = 100101101009976 and 100101101010003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13278814 + ... + 19404357.

It is an arithmetic number, because the mean of its divisors is an integer number (1915364611888).

Almost surely, 2^{100101101010012} is an apocalyptic number.

100101101010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101101010012 is an abundant number, since it is smaller than the sum of its proper divisors (175711403101860).

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

100101101010012 is a wasteful number, since it uses less digits than its factorization.

100101101010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32683350 (or 32683336 counting only the distinct ones).

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

Adding to 100101101010012 its reverse (210010101101001), we get a palindrome (310111202111013).

The spelling of 100101101010012 in words is "one hundred trillion, one hundred one billion, one hundred one million, ten thousand, twelve".