101021120002212 has 48 divisors (see below), whose sum is σ = 256677981873600. Its totient is φ = 30801357820800.

The previous prime is 101021120002199. The next prime is 101021120002219. The reversal of 101021120002212 is 212200021120101.

101021120002212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101021120002191 and 101021120002200.

It is not an unprimeable number, because it can be changed into a prime (101021120002219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7639219039 + ... + 7639232262.

It is an arithmetic number, because the mean of its divisors is an integer number (5347457955700).

Almost surely, 2^{101021120002212} is an apocalyptic number.

101021120002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101021120002212 is an abundant number, since it is smaller than the sum of its proper divisors (155656861871388).

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

101021120002212 is a wasteful number, since it uses less digits than its factorization.

101021120002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15278451356 (or 15278451354 counting only the distinct ones).

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

Adding to 101021120002212 its reverse (212200021120101), we get a palindrome (313221141122313).

The spelling of 101021120002212 in words is "one hundred one trillion, twenty-one billion, one hundred twenty million, two thousand, two hundred twelve".