101211002010120 has 128 divisors (see below), whose sum is σ = 313455053831040. Its totient is φ = 26124088688640.

The previous prime is 101211002010119. The next prime is 101211002010121. The reversal of 101211002010120 is 21010200112101.

101211002010120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101211002010119) and next prime (101211002010121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101211002010096 and 101211002010105.

It is not an unprimeable number, because it can be changed into a prime (101211002010121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 58198186 + ... + 59912025.

It is an arithmetic number, because the mean of its divisors is an integer number (2448867608055).

Almost surely, 2^{101211002010120} is an apocalyptic number.

101211002010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211002010120 is an abundant number, since it is smaller than the sum of its proper divisors (212244051820920).

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

101211002010120 is a wasteful number, since it uses less digits than its factorization.

101211002010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118110455 (or 118110451 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101211002010120 its reverse (21010200112101), we get a palindrome (122221202122221).

The spelling of 101211002010120 in words is "one hundred one trillion, two hundred eleven billion, two million, ten thousand, one hundred twenty".