10200212102000 has 40 divisors (see below), whose sum is σ = 24664112867472. Its totient is φ = 4080084840000.

The previous prime is 10200212101987. The next prime is 10200212102173. The reversal of 10200212102000 is 20121200201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 2550051026 + ... + 2550055025.

Almost surely, 2^{10200212102000} is an apocalyptic number.

10200212102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200212102000 is an abundant number, since it is smaller than the sum of its proper divisors (14463900765472).

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

10200212102000 is an equidigital number, since it uses as much as digits as its factorization.

10200212102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100106074 (or 5100106058 counting only the distinct ones).

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

Adding to 10200212102000 its reverse (20121200201), we get a palindrome (10220333302201).

The spelling of 10200212102000 in words is "ten trillion, two hundred billion, two hundred twelve million, one hundred two thousand".