10100101212 has 72 divisors (see below), whose sum is σ = 26359936512. Its totient is φ = 3258662400.

The previous prime is 10100101199. The next prime is 10100101229. The reversal of 10100101212 is 21210100101.

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 = 10100101194 and 10100101203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160512 + ... + 214392.

Almost surely, 2^10100101212 is an apocalyptic number.

10100101212 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 10100101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13179968256).

10100101212 is an abundant number, since it is smaller than the sum of its proper divisors (16259835300).

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

10100101212 is a wasteful number, since it uses less digits than its factorization.

10100101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54059 (or 54054 counting only the distinct ones).

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

Adding to 10100101212 its reverse (21210100101), we get a palindrome (31310201313).

It can be divided in two parts, 10100101 and 212, that multiplied together give a palindrome (2141221412).

The spelling of 10100101212 in words is "ten billion, one hundred million, one hundred one thousand, two hundred twelve".