101211210112 has 64 divisors (see below), whose sum is σ = 210928860000. Its totient is φ = 48311431168.

The previous prime is 101211210091. The next prime is 101211210119. The reversal of 101211210112 is 211012112101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×101211210112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101211210092 and 101211210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211210119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177189 + ... + 483547.

Almost surely, 2^101211210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105464430000).

101211210112 is an abundant number, since it is smaller than the sum of its proper divisors (109717649888).

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

101211210112 is an equidigital number, since it uses as much as digits as its factorization.

101211210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306491 (or 306479 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101211210112 its reverse (211012112101), we get a palindrome (312223322213).

The spelling of 101211210112 in words is "one hundred one billion, two hundred eleven million, two hundred ten thousand, one hundred twelve".