101202200201000 has 32 divisors (see below), whose sum is σ = 236813148472680. Its totient is φ = 40480880080000.

The previous prime is 101202200200993. The next prime is 101202200201009. The reversal of 101202200201000 is 102002202101.

It is a happy number.

101202200201000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33363816404164 + 67838383796836 = 5776142^2 + 8236406^2 .

It is not an unprimeable number, because it can be changed into a prime (101202200201009) 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, 50601099101 + ... + 50601101100.

Almost surely, 2^{101202200201000} is an apocalyptic number.

101202200201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202200201000 is an abundant number, since it is smaller than the sum of its proper divisors (135610948271680).

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

101202200201000 is a wasteful number, since it uses less digits than its factorization.

101202200201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101202200222 (or 101202200208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101202200201000 its reverse (102002202101), we get a palindrome (101304202403101).

The spelling of 101202200201000 in words is "one hundred one trillion, two hundred two billion, two hundred million, two hundred one thousand".