101002120100212 has 24 divisors (see below), whose sum is σ = 177265117197000. Its totient is φ = 50354951840256.

The previous prime is 101002120100209. The next prime is 101002120100221. The reversal of 101002120100212 is 212001021200101.

It can be written as a sum of positive squares in 4 ways, for example, as 54536984327056 + 46465135773156 = 7384916^2 + 6816534^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101002120100192 and 101002120100201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49924464 + ... + 51908152.

It is an arithmetic number, because the mean of its divisors is an integer number (7386046549875).

Almost surely, 2^{101002120100212} is an apocalyptic number.

It is an amenable number.

101002120100212 is a deficient number, since it is larger than the sum of its proper divisors (76262997096788).

101002120100212 is a wasteful number, since it uses less digits than its factorization.

101002120100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020515 (or 2020513 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101002120100212 its reverse (212001021200101), we get a palindrome (313003141300313).

The spelling of 101002120100212 in words is "one hundred one trillion, two billion, one hundred twenty million, one hundred thousand, two hundred twelve".