10200001120 has 96 divisors (see below), whose sum is σ = 24331079808. Its totient is φ = 4040644608.

The previous prime is 10200001099. The next prime is 10200001169. The reversal of 10200001120 is 2110000201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11630122 + ... + 11630998.

It is an arithmetic number, because the mean of its divisors is an integer number (253448748).

Almost surely, 2^10200001120 is an apocalyptic number.

10200001120 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 10200001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12165539904).

10200001120 is an abundant number, since it is smaller than the sum of its proper divisors (14131078688).

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

10200001120 is a wasteful number, since it uses less digits than its factorization.

10200001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10200001120 its reverse (2110000201), we get a palindrome (12310001321).

The spelling of 10200001120 in words is "ten billion, two hundred million, one thousand, one hundred twenty".