10210401200 has 120 divisors (see below), whose sum is σ = 25438900080. Its totient is φ = 3933619200.

The previous prime is 10210401151. The next prime is 10210401233. The reversal of 10210401200 is 210401201.

It is a super-2 number, since 2×10210401200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6274787 + ... + 6276413.

It is an arithmetic number, because the mean of its divisors is an integer number (211990834).

Almost surely, 2^10210401200 is an apocalyptic number.

10210401200 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 10210401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719450040).

10210401200 is an abundant number, since it is smaller than the sum of its proper divisors (15228498880).

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

10210401200 is a wasteful number, since it uses less digits than its factorization.

10210401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10210401200 its reverse (210401201), we get a palindrome (10420802401).

Subtracting from 10210401200 its reverse (210401201), we obtain a palindrome (9999999999).

The spelling of 10210401200 in words is "ten billion, two hundred ten million, four hundred one thousand, two hundred".