10202112000 has 672 divisors, whose sum is σ = 39072275424. Its totient is φ = 2654208000.

The previous prime is 10202111999. The next prime is 10202112091. The reversal of 10202112000 is 21120201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248831980 + ... + 248832020.

It is an arithmetic number, because the mean of its divisors is an integer number (58143267).

Almost surely, 2^10202112000 is an apocalyptic number.

10202112000 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 10202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19536137712).

10202112000 is an abundant number, since it is smaller than the sum of its proper divisors (28870163424).

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

10202112000 is an frugal number, since it uses more digits than its factorization.

10202112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10202112000 its reverse (21120201), we get a palindrome (10223232201).

The spelling of 10202112000 in words is "ten billion, two hundred two million, one hundred twelve thousand".