204020211001000 has 32 divisors (see below), whose sum is σ = 477407293744680. Its totient is φ = 81608084400000.

The previous prime is 204020211000979. The next prime is 204020211001003. The reversal of 204020211001000 is 100112020402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 89227029352036 + 114793181648964 = 9446006^2 + 10714158^2 .

It is a super-2 number, since 2×204020211001000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204020211001003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102010104501 + ... + 102010106500.

Almost surely, 2^{204020211001000} is an apocalyptic number.

204020211001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204020211001000 is an abundant number, since it is smaller than the sum of its proper divisors (273387082743680).

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

204020211001000 is a wasteful number, since it uses less digits than its factorization.

204020211001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204020211022 (or 204020211008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 204020211001000 its reverse (100112020402), we get a palindrome (204120323021402).

The spelling of 204020211001000 in words is "two hundred four trillion, twenty billion, two hundred eleven million, one thousand".