10101802838400 has 3456 divisors, whose sum is σ = 48305091088800. Its totient is φ = 1986515435520.

The previous prime is 10101802838339. The next prime is 10101802838401. The reversal of 10101802838400 is 483820810101.

10101802838400 is a `hidden beast` number, since 10 + 10 + 180 + 28 + 38 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101802838401) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 25445347002 + ... + 25445347398.

Almost surely, 2^{10101802838400} is an apocalyptic number.

10101802838400 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 10101802838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24152545544400).

10101802838400 is an abundant number, since it is smaller than the sum of its proper divisors (38203288250400).

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

10101802838400 is a wasteful number, since it uses less digits than its factorization.

10101802838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10101802838400 in words is "ten trillion, one hundred one billion, eight hundred two million, eight hundred thirty-eight thousand, four hundred".