10122201000000 has 1176 divisors, whose sum is σ = 37715838324840. Its totient is φ = 2593382400000.

The previous prime is 10122200999947. The next prime is 10122201000049. The reversal of 10122201000000 is 10222101.

It can be written as a sum of positive squares in 28 ways, for example, as 1469002176576 + 8653198823424 = 1212024^2 + 2941632^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 37628999866 + ... + 37629000134.

Almost surely, 2^{10122201000000} is an apocalyptic number.

10122201000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18857919162420).

10122201000000 is an abundant number, since it is smaller than the sum of its proper divisors (27593637324840).

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

10122201000000 is an equidigital number, since it uses as much as digits as its factorization.

10122201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 429 counting only the distinct ones).

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

Adding to 10122201000000 its reverse (10222101), we get a palindrome (10122211222101).

The spelling of 10122201000000 in words is "ten trillion, one hundred twenty-two billion, two hundred one million", and thus it is an aban number.