101211022120002 has 48 divisors (see below), whose sum is σ = 207535450898880. Its totient is φ = 32905291070080.

The previous prime is 101211022119947. The next prime is 101211022120003. The reversal of 101211022120002 is 200021220112101.

It is not an unprimeable number, because it can be changed into a prime (101211022120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36160708 + ... + 38858960.

It is an arithmetic number, because the mean of its divisors is an integer number (4323655227060).

Almost surely, 2^{101211022120002} is an apocalyptic number.

101211022120002 is an abundant number, since it is smaller than the sum of its proper divisors (106324428778878).

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

101211022120002 is a wasteful number, since it uses less digits than its factorization.

101211022120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702059 (or 2702018 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101211022120002 its reverse (200021220112101), we get a palindrome (301232242232103).

The spelling of 101211022120002 in words is "one hundred one trillion, two hundred eleven billion, twenty-two million, one hundred twenty thousand, two".