101212001110000 has 100 divisors (see below), whose sum is σ = 267321137622264. Its totient is φ = 36804364000000.

The previous prime is 101212001109959. The next prime is 101212001110009. The reversal of 101212001110000 is 11100212101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212001110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 459944551 + ... + 460164550.

Almost surely, 2^{101212001110000} is an apocalyptic number.

101212001110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212001110000 is an abundant number, since it is smaller than the sum of its proper divisors (166109136512264).

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

101212001110000 is an equidigital number, since it uses as much as digits as its factorization.

101212001110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920109140 (or 920109119 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101212001110000 its reverse (11100212101), we get a palindrome (101223101322101).

The spelling of 101212001110000 in words is "one hundred one trillion, two hundred twelve billion, one million, one hundred ten thousand".