101304214000 has 160 divisors (see below), whose sum is σ = 267607372032. Its totient is φ = 36784800000.

The previous prime is 101304213961. The next prime is 101304214013. The reversal of 101304214000 is 412403101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17311075 + ... + 17316925.

Almost surely, 2^101304214000 is an apocalyptic number.

101304214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101304214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133803686016).

101304214000 is an abundant number, since it is smaller than the sum of its proper divisors (166303158032).

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

101304214000 is a wasteful number, since it uses less digits than its factorization.

101304214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101304214000 its reverse (412403101), we get a palindrome (101716617101).

The spelling of 101304214000 in words is "one hundred one billion, three hundred four million, two hundred fourteen thousand".