100121122211020 has 12 divisors (see below), whose sum is σ = 210254356643184. Its totient is φ = 40048448884400.

The previous prime is 100121122211003. The next prime is 100121122211021. The reversal of 100121122211020 is 20112221121001.

It is a super-2 number, since 2×100121122211020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100121122210985 and 100121122211003.

It is not an unprimeable number, because it can be changed into a prime (100121122211021) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2503028055256 + ... + 2503028055295.

It is an arithmetic number, because the mean of its divisors is an integer number (17521196386932).

Almost surely, 2^{100121122211020} is an apocalyptic number.

100121122211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121122211020 is an abundant number, since it is smaller than the sum of its proper divisors (110133234432164).

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

100121122211020 is a wasteful number, since it uses less digits than its factorization.

100121122211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006056110560 (or 5006056110558 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100121122211020 its reverse (20112221121001), we get a palindrome (120233343332021).

The spelling of 100121122211020 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, twenty".