214011102402000 has 160 divisors (see below), whose sum is σ = 766635327020160. Its totient is φ = 57069627292800.

The previous prime is 214011102401959. The next prime is 214011102402017. The reversal of 214011102402000 is 204201110412.

214011102402000 is a `hidden beast` number, since 2 + 1 + 401 + 1 + 1 + 0 + 240 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1981530282 + ... + 1981638281.

It is an arithmetic number, because the mean of its divisors is an integer number (4791470793876).

Almost surely, 2^{214011102402000} is an apocalyptic number.

214011102402000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214011102402000 is an abundant number, since it is smaller than the sum of its proper divisors (552624224618160).

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

214011102402000 is a wasteful number, since it uses less digits than its factorization.

214011102402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963168595 (or 3963168573 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 214011102402000 its reverse (204201110412), we get a palindrome (214215303512412).

The spelling of 214011102402000 in words is "two hundred fourteen trillion, eleven billion, one hundred two million, four hundred two thousand".