10102001200100 has 18 divisors (see below), whose sum is σ = 21921342604434. Its totient is φ = 4040800480000.

The previous prime is 10102001200097. The next prime is 10102001200103. The reversal of 10102001200100 is 100210020101.

It is an interprime number because it is at equal distance from previous prime (10102001200097) and next prime (10102001200103).

It can be written as a sum of positive squares in 3 ways, for example, as 2299632734116 + 7802368465984 = 1516454^2 + 2793272^2 .

It is not an unprimeable number, because it can be changed into a prime (10102001200103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50510005901 + ... + 50510006100.

It is an arithmetic number, because the mean of its divisors is an integer number (1217852366913).

Almost surely, 2^{10102001200100} is an apocalyptic number.

10102001200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102001200100 is an abundant number, since it is smaller than the sum of its proper divisors (11819341404334).

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

10102001200100 is a wasteful number, since it uses less digits than its factorization.

10102001200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101020012015 (or 101020012008 counting only the distinct ones).

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

Adding to 10102001200100 its reverse (100210020101), we get a palindrome (10202211220201).

The spelling of 10102001200100 in words is "ten trillion, one hundred two billion, one million, two hundred thousand, one hundred".