101212001212120 has 16 divisors (see below), whose sum is σ = 227727002727360. Its totient is φ = 40484800484832.

The previous prime is 101212001212061. The next prime is 101212001212141. The reversal of 101212001212120 is 21212100212101.

It is a junction number, because it is equal to n+sod(n) for n = 101212001212094 and 101212001212103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1265150015112 + ... + 1265150015191.

It is an arithmetic number, because the mean of its divisors is an integer number (14232937670460).

Almost surely, 2^{101212001212120} is an apocalyptic number.

101212001212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212001212120 is an abundant number, since it is smaller than the sum of its proper divisors (126515001515240).

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

101212001212120 is a wasteful number, since it uses less digits than its factorization.

101212001212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530300030314 (or 2530300030310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101212001212120 its reverse (21212100212101), we get a palindrome (122424101424221).

The spelling of 101212001212120 in words is "one hundred one trillion, two hundred twelve billion, one million, two hundred twelve thousand, one hundred twenty".