100121020011220 has 48 divisors (see below), whose sum is σ = 226444391501328. Its totient is φ = 36965009571840.

The previous prime is 100121020011217. The next prime is 100121020011223. The reversal of 100121020011220 is 22110020121001.

It is an interprime number because it is at equal distance from previous prime (100121020011217) and next prime (100121020011223).

It can be written as a sum of positive squares in 8 ways, for example, as 49927734193936 + 50193285817284 = 7065956^2 + 7084722^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100121020011220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121020011223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10830199 + ... + 17819518.

It is an arithmetic number, because the mean of its divisors is an integer number (4717591489611).

Almost surely, 2^{100121020011220} is an apocalyptic number.

100121020011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121020011220 is an abundant number, since it is smaller than the sum of its proper divisors (126323371490108).

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

100121020011220 is a wasteful number, since it uses less digits than its factorization.

100121020011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28663180 (or 28663178 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100121020011220 its reverse (22110020121001), we get a palindrome (122231040132221).

The spelling of 100121020011220 in words is "one hundred trillion, one hundred twenty-one billion, twenty million, eleven thousand, two hundred twenty".