121122021100100 has 72 divisors (see below), whose sum is σ = 263092529333760. Its totient is φ = 48401303598720.

The previous prime is 121122021100079. The next prime is 121122021100159. The reversal of 121122021100100 is 1001120221121.

It is a super-4 number, since 4×121122021100100⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3116300867 + ... + 3116339733.

Almost surely, 2^{121122021100100} is an apocalyptic number.

121122021100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122021100100 is an abundant number, since it is smaller than the sum of its proper divisors (141970508233660).

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

121122021100100 is a wasteful number, since it uses less digits than its factorization.

121122021100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68637 (or 68630 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121122021100100 its reverse (1001120221121), we get a palindrome (122123141321221).

It can be divided in two parts, 121122021 and 100100, that added together give a palindrome (121222121).

The spelling of 121122021100100 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, twenty-one million, one hundred thousand, one hundred".