200101120001000 has 32 divisors (see below), whose sum is σ = 468236620804680. Its totient is φ = 80040448000000.

The previous prime is 200101120000987. The next prime is 200101120001021. The reversal of 200101120001000 is 100021101002.

It can be written as a sum of positive squares in 4 ways, for example, as 80015422277956 + 120085697723044 = 8945134^2 + 10958362^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100050559001 + ... + 100050561000.

Almost surely, 2^{200101120001000} is an apocalyptic number.

200101120001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101120001000 is an abundant number, since it is smaller than the sum of its proper divisors (268135500803680).

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

200101120001000 is a wasteful number, since it uses less digits than its factorization.

200101120001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200101120022 (or 200101120008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 200101120001000 its reverse (100021101002), we get a palindrome (200201141102002).

The spelling of 200101120001000 in words is "two hundred trillion, one hundred one billion, one hundred twenty million, one thousand".