101002030538400 has 432 divisors, whose sum is σ = 362673818515008. Its totient is φ = 26444307456000.

The previous prime is 101002030538371. The next prime is 101002030538417. The reversal of 101002030538400 is 4835030200101.

It is a happy number.

101002030538400 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 203 + 0 + 53 + 8 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122789287 + ... + 123609113.

It is an arithmetic number, because the mean of its divisors is an integer number (839522728044).

Almost surely, 2^{101002030538400} is an apocalyptic number.

101002030538400 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 101002030538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181336909257504).

101002030538400 is an abundant number, since it is smaller than the sum of its proper divisors (261671787976608).

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

101002030538400 is a wasteful number, since it uses less digits than its factorization.

101002030538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820165 (or 820149 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 101002030538400 its reverse (4835030200101), we get a palindrome (105837060738501).

The spelling of 101002030538400 in words is "one hundred one trillion, two billion, thirty million, five hundred thirty-eight thousand, four hundred".