101421514000 has 160 divisors (see below), whose sum is σ = 252336251232. Its totient is φ = 39398400000.

The previous prime is 101421513931. The next prime is 101421514003. The reversal of 101421514000 is 415124101.

It can be written as a sum of positive squares in 16 ways, for example, as 96387895296 + 5033618704 = 310464^2 + 70948^2 .

It is not an unprimeable number, because it can be changed into a prime (101421514003) by changing a digit.

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, 56313100 + ... + 56314900.

Almost surely, 2^101421514000 is an apocalyptic number.

101421514000 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 101421514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126168125616).

101421514000 is an abundant number, since it is smaller than the sum of its proper divisors (150914737232).

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

101421514000 is a wasteful number, since it uses less digits than its factorization.

101421514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 101421514000 its reverse (415124101), we get a palindrome (101836638101).

The spelling of 101421514000 in words is "one hundred one billion, four hundred twenty-one million, five hundred fourteen thousand".