100121220221000 has 384 divisors, whose sum is σ = 265326460570080. Its totient is φ = 35314104320000.

The previous prime is 100121220220969. The next prime is 100121220221023. The reversal of 100121220221000 is 122022121001.

It can be written as a sum of positive squares in 16 ways, for example, as 35437708949764 + 64683511271236 = 5952958^2 + 8042606^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 858194672 + ... + 858311328.

Almost surely, 2^{100121220221000} is an apocalyptic number.

100121220221000 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 100121220221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132663230285040).

100121220221000 is an abundant number, since it is smaller than the sum of its proper divisors (165205240349080).

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

100121220221000 is a wasteful number, since it uses less digits than its factorization.

100121220221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116914 (or 116889 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100121220221000 its reverse (122022121001), we get a palindrome (100243242342001).

It can be divided in two parts, 1001212 and 20221000, that added together give a palindrome (21222212).

The spelling of 100121220221000 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty million, two hundred twenty-one thousand".