10101100212 has 144 divisors (see below), whose sum is σ = 29887603200. Its totient is φ = 2816985600.

The previous prime is 10101100151. The next prime is 10101100213. The reversal of 10101100212 is 21200110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10101100194 and 10101100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101100213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1768962 + ... + 1774662.

It is an arithmetic number, because the mean of its divisors is an integer number (207552800).

Almost surely, 2^10101100212 is an apocalyptic number.

10101100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14943801600).

10101100212 is an abundant number, since it is smaller than the sum of its proper divisors (19786502988).

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

10101100212 is a wasteful number, since it uses less digits than its factorization.

10101100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101100212 its reverse (21200110101), we get a palindrome (31301210313).

The spelling of 10101100212 in words is "ten billion, one hundred one million, one hundred thousand, two hundred twelve".