101211101012 has 24 divisors (see below), whose sum is σ = 202429112256. Its totient is φ = 43374705408.

The previous prime is 101211101011. The next prime is 101211101029. The reversal of 101211101012 is 210101112101.

101211101012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101211101012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101211100984 and 101211101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211101011) 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 7 ways as a sum of consecutive naturals, for example, 1301828 + ... + 1377380.

It is an arithmetic number, because the mean of its divisors is an integer number (8434546344).

Almost surely, 2^101211101012 is an apocalyptic number.

It is an amenable number.

101211101012 is an abundant number, since it is smaller than the sum of its proper divisors (101218011244).

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

101211101012 is a wasteful number, since it uses less digits than its factorization.

101211101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123407 (or 123405 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101211101012 its reverse (210101112101), we get a palindrome (311312213113).

The spelling of 101211101012 in words is "one hundred one billion, two hundred eleven million, one hundred one thousand, twelve".