101211110220012 has 96 divisors (see below), whose sum is σ = 265395347277312. Its totient is φ = 29786496892416.

The previous prime is 101211110219993. The next prime is 101211110220047. The reversal of 101211110220012 is 210022011112101.

It is a happy number.

101211110220012 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 = 101211110219973 and 101211110220000.

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 31 ways as a sum of consecutive naturals, for example, 77632923 + ... + 78925869.

It is an arithmetic number, because the mean of its divisors is an integer number (2764534867472).

Almost surely, 2^{101211110220012} is an apocalyptic number.

101211110220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101211110220012 is an abundant number, since it is smaller than the sum of its proper divisors (164184237057300).

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

101211110220012 is a wasteful number, since it uses less digits than its factorization.

101211110220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314807 (or 1314805 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101211110220012 its reverse (210022011112101), we get a palindrome (311233121332113).

The spelling of 101211110220012 in words is "one hundred one trillion, two hundred eleven billion, one hundred ten million, two hundred twenty thousand, twelve".