10100121101220 has 96 divisors (see below), whose sum is σ = 30095888473728. Its totient is φ = 2522064627712.

The previous prime is 10100121101209. The next prime is 10100121101227. The reversal of 10100121101220 is 2210112100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10100121101196 and 10100121101205.

It is not an unprimeable number, because it can be changed into a prime (10100121101227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24931242 + ... + 25333121.

It is an arithmetic number, because the mean of its divisors is an integer number (313498838268).

Almost surely, 2^{10100121101220} is an apocalyptic number.

10100121101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100121101220 is an abundant number, since it is smaller than the sum of its proper divisors (19995767372508).

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

10100121101220 is a wasteful number, since it uses less digits than its factorization.

10100121101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50264589 (or 50264587 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100121101220 its reverse (2210112100101), we get a palindrome (12310233201321).

The spelling of 10100121101220 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one hundred one thousand, two hundred twenty".