10103202211200 has 384 divisors, whose sum is σ = 40032994272000. Its totient is φ = 2187760803840.

The previous prime is 10103202211199. The next prime is 10103202211217. The reversal of 10103202211200 is 211220230101.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10103202211200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2679655 + ... + 5233254.

It is an arithmetic number, because the mean of its divisors is an integer number (104252589250).

Almost surely, 2^{10103202211200} is an apocalyptic number.

10103202211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103202211200 is an abundant number, since it is smaller than the sum of its proper divisors (29929792060800).

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

10103202211200 is a wasteful number, since it uses less digits than its factorization.

10103202211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7912962 (or 7912945 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10103202211200 its reverse (211220230101), we get a palindrome (10314422441301).

The spelling of 10103202211200 in words is "ten trillion, one hundred three billion, two hundred two million, two hundred eleven thousand, two hundred".