100012001001220 has 576 divisors, whose sum is σ = 283219939763712. Its totient is φ = 29046588595200.

The previous prime is 100012001001137. The next prime is 100012001001251. The reversal of 100012001001220 is 22100100210001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100012001001197 and 100012001001206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4103380954 + ... + 4103405326.

It is an arithmetic number, because the mean of its divisors is an integer number (491701284312).

Almost surely, 2^{100012001001220} is an apocalyptic number.

100012001001220 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 100012001001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141609969881856).

100012001001220 is an abundant number, since it is smaller than the sum of its proper divisors (183207938762492).

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

100012001001220 is a wasteful number, since it uses less digits than its factorization.

100012001001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24521 (or 24478 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100012001001220 its reverse (22100100210001), we get a palindrome (122112101211221).

The spelling of 100012001001220 in words is "one hundred trillion, twelve billion, one million, one thousand, two hundred twenty".