10100200212000 has 144 divisors (see below), whose sum is σ = 35845610680152. Its totient is φ = 2693386713600.

The previous prime is 10100200211963. The next prime is 10100200212071. The reversal of 10100200212000 is 21200200101.

It can be written as a sum of positive squares in 4 ways, for example, as 6408775781136 + 3691424430864 = 2531556^2 + 1921308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140244559 + ... + 140316558.

Almost surely, 2^{10100200212000} is an apocalyptic number.

10100200212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100200212000 is an abundant number, since it is smaller than the sum of its proper divisors (25745410468152).

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

10100200212000 is a wasteful number, since it uses less digits than its factorization.

10100200212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280561148 (or 280561127 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10100200212000 its reverse (21200200101), we get a palindrome (10121400412101).

The spelling of 10100200212000 in words is "ten trillion, one hundred billion, two hundred million, two hundred twelve thousand".