10000200120 has 64 divisors (see below), whose sum is σ = 30732337440. Its totient is φ = 2601676800.

The previous prime is 10000200109. The next prime is 10000200121. The reversal of 10000200120 is 2100200001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10000200099 and 10000200108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000200121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011361 + ... + 1021200.

Almost surely, 2^10000200120 is an apocalyptic number.

10000200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000200120 is an abundant number, since it is smaller than the sum of its proper divisors (20732137320).

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

10000200120 is a wasteful number, since it uses less digits than its factorization.

10000200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032616 (or 2032612 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10000200120 its reverse (2100200001), we get a palindrome (12100400121).

The spelling of 10000200120 in words is "ten billion, two hundred thousand, one hundred twenty".