2101222221012 has 18 divisors (see below), whose sum is σ = 5311422836538. Its totient is φ = 700407406992.

The previous prime is 2101222221011. The next prime is 2101222221013.

It is a happy number.

2101222221012 is a `hidden beast` number, since 210 + 1 + 222 + 221 + 0 + 12 = 666.

2101222221012 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2101222221011) and next prime (2101222221013).

It can be written as a sum of positive squares in only one way, i.e., 1390026852036 + 711195368976 = 1178994^2 + 843324^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101222221011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29183641923 + ... + 29183641994.

Almost surely, 2^{2101222221012} is an apocalyptic number.

It is an amenable number.

2101222221012 is an abundant number, since it is smaller than the sum of its proper divisors (3210200615526).

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

2101222221012 is a wasteful number, since it uses less digits than its factorization.

2101222221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58367283927 (or 58367283922 counting only the distinct ones).

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

The spelling of 2101222221012 in words is "two trillion, one hundred one billion, two hundred twenty-two million, two hundred twenty-one thousand, twelve".