10201200122000 has 80 divisors (see below), whose sum is σ = 25131907852272. Its totient is φ = 4003489817600.

The previous prime is 10201200121939. The next prime is 10201200122011. The reversal of 10201200122000 is 22100210201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2346386731264 + 7854813390736 = 1531792^2 + 2802644^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48012869 + ... + 48224868.

Almost surely, 2^{10201200122000} is an apocalyptic number.

10201200122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201200122000 is an abundant number, since it is smaller than the sum of its proper divisors (14930707730272).

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

10201200122000 is an equidigital number, since it uses as much as digits as its factorization.

10201200122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96237813 (or 96237797 counting only the distinct ones).

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

Adding to 10201200122000 its reverse (22100210201), we get a palindrome (10223300332201).

The spelling of 10201200122000 in words is "ten trillion, two hundred one billion, two hundred million, one hundred twenty-two thousand".