100220022212121 has 48 divisors (see below), whose sum is σ = 171624780722304. Its totient is φ = 57250325228544.

The previous prime is 100220022212117. The next prime is 100220022212159. The reversal of 100220022212121 is 121212220022001.

It is a happy number.

100220022212121 is a `hidden beast` number, since 10 + 0 + 220 + 0 + 2 + 221 + 212 + 1 = 666.

It is not a de Polignac number, because 100220022212121 - 2² = 100220022212117 is a prime.

It is a super-3 number, since 3×100220022212121³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100220022212094 and 100220022212103.

It is not an unprimeable number, because it can be changed into a prime (100220022212221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4054830 + ... + 14726903.

It is an arithmetic number, because the mean of its divisors is an integer number (3575516265048).

Almost surely, 2^{100220022212121} is an apocalyptic number.

It is an amenable number.

100220022212121 is a deficient number, since it is larger than the sum of its proper divisors (71404758510183).

100220022212121 is an equidigital number, since it uses as much as digits as its factorization.

100220022212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18784892 (or 18784880 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100220022212121 its reverse (121212220022001), we get a palindrome (221432242234122).

The spelling of 100220022212121 in words is "one hundred trillion, two hundred twenty billion, twenty-two million, two hundred twelve thousand, one hundred twenty-one".