101212212022002 has 96 divisors (see below), whose sum is σ = 238467425217840. Its totient is φ = 30898753597440.

The previous prime is 101212212022001. The next prime is 101212212022003. The reversal of 101212212022002 is 200220212212101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101212212022001) and next prime (101212212022003).

It can be written as a sum of positive squares in 8 ways, for example, as 46665553025961 + 54546658996041 = 6831219^2 + 7385571^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101212212022001) 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, 5488873 + ... + 15249660.

Almost surely, 2^{101212212022002} is an apocalyptic number.

101212212022002 is an abundant number, since it is smaller than the sum of its proper divisors (137255213195838).

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

101212212022002 is a wasteful number, since it uses less digits than its factorization.

101212212022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20738988 (or 20738985 counting only the distinct ones).

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

Adding to 101212212022002 its reverse (200220212212101), we get a palindrome (301432424234103).

The spelling of 101212212022002 in words is "one hundred one trillion, two hundred twelve billion, two hundred twelve million, twenty-two thousand, two".