10010201120400 has 240 divisors, whose sum is σ = 34596487419200. Its totient is φ = 2459492812800.

The previous prime is 10010201120363. The next prime is 10010201120419. The reversal of 10010201120400 is 402110201001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 7846551 + ... + 9032649.

Almost surely, 2^{10010201120400} is an apocalyptic number.

10010201120400 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 10010201120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298243709600).

10010201120400 is an abundant number, since it is smaller than the sum of its proper divisors (24586286298800).

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

10010201120400 is a wasteful number, since it uses less digits than its factorization.

10010201120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186674 (or 1186663 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10010201120400 its reverse (402110201001), we get a palindrome (10412311321401).

The spelling of 10010201120400 in words is "ten trillion, ten billion, two hundred one million, one hundred twenty thousand, four hundred".