101421302102400 has 1152 divisors, whose sum is σ = 408528356083200. Its totient is φ = 21658537820160.

The previous prime is 101421302102297. The next prime is 101421302102423. The reversal of 101421302102400 is 4201203124101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2660630541 + ... + 2660668659.

It is an arithmetic number, because the mean of its divisors is an integer number (354625309100).

Almost surely, 2^{101421302102400} is an apocalyptic number.

101421302102400 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 101421302102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204264178041600).

101421302102400 is an abundant number, since it is smaller than the sum of its proper divisors (307107053980800).

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

101421302102400 is a wasteful number, since it uses less digits than its factorization.

101421302102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38324 (or 38290 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101421302102400 its reverse (4201203124101), we get a palindrome (105622505226501).

The spelling of 101421302102400 in words is "one hundred one trillion, four hundred twenty-one billion, three hundred two million, one hundred two thousand, four hundred".