100022001210000 has 2025 divisors, whose sum is σ = 389233221718341. Its totient is φ = 23964235776000.

The previous prime is 100022001209989. The next prime is 100022001210011. The reversal of 100022001210000 is 12100220001.

The square root of 100022001210000 is 10001100.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (100022001209989) and next prime (100022001210011).

It can be written as a sum of positive squares in 67 ways, for example, as 99216660091536 + 805341118464 = 9960756^2 + 897408^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1887207569974 + ... + 1887207570026.

Almost surely, 2^{100022001210000} is an apocalyptic number.

100022001210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100022001210000 is the 10001100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022001210000

100022001210000 is an abundant number, since it is smaller than the sum of its proper divisors (289211220508341).

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

100022001210000 is an equidigital number, since it uses as much as digits as its factorization.

100022001210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 117 counting only the distinct ones).

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

Adding to 100022001210000 its reverse (12100220001), we get a palindrome (100034101430001).

It can be divided in two parts, 100022001 and 210000, that added together give a palindrome (100232001).

The spelling of 100022001210000 in words is "one hundred trillion, twenty-two billion, one million, two hundred ten thousand".