10101400203400 has 384 divisors, whose sum is σ = 26672941215360. Its totient is φ = 3525903360000.

The previous prime is 10101400203373. The next prime is 10101400203481. The reversal of 10101400203400 is 430200410101.

It is a super-2 number, since 2×10101400203400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1308976342 + ... + 1308984058.

It is an arithmetic number, because the mean of its divisors is an integer number (69460784415).

Almost surely, 2^{10101400203400} is an apocalyptic number.

10101400203400 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 10101400203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13336470607680).

10101400203400 is an abundant number, since it is smaller than the sum of its proper divisors (16571541011960).

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

10101400203400 is a wasteful number, since it uses less digits than its factorization.

10101400203400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8025 (or 8016 counting only the distinct ones).

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

Adding to 10101400203400 its reverse (430200410101), we get a palindrome (10531600613501).

The spelling of 10101400203400 in words is "ten trillion, one hundred one billion, four hundred million, two hundred three thousand, four hundred".