100222211021121 has 128 divisors (see below), whose sum is σ = 185152051584000. Its totient is φ = 53367339110400.

The previous prime is 100222211021099. The next prime is 100222211021161. The reversal of 100222211021121 is 121120112222001.

100222211021121 is a `hidden beast` number, since 1 + 0 + 0 + 222 + 211 + 0 + 211 + 21 = 666.

It is not a de Polignac number, because 100222211021121 - 2⁶ = 100222211021057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100222211021094 and 100222211021103.

It is not an unprimeable number, because it can be changed into a prime (100222211021161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12749721 + ... + 19052553.

It is an arithmetic number, because the mean of its divisors is an integer number (1446500403000).

Almost surely, 2^{100222211021121} is an apocalyptic number.

It is an amenable number.

100222211021121 is a deficient number, since it is larger than the sum of its proper divisors (84929840562879).

100222211021121 is a wasteful number, since it uses less digits than its factorization.

100222211021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6302981 (or 6302961 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100222211021121 its reverse (121120112222001), we get a palindrome (221342323243122).

The spelling of 100222211021121 in words is "one hundred trillion, two hundred twenty-two billion, two hundred eleven million, twenty-one thousand, one hundred twenty-one".