101000110000212 has 72 divisors (see below), whose sum is σ = 266750728118784. Its totient is φ = 32161273738176.

The previous prime is 101000110000169. The next prime is 101000110000217. The reversal of 101000110000212 is 212000011000101.

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 = 101000110000194 and 101000110000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000110000217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78260868 + ... + 79540955.

It is an arithmetic number, because the mean of its divisors is an integer number (3704871223872).

Almost surely, 2^{101000110000212} is an apocalyptic number.

101000110000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000110000212 is an abundant number, since it is smaller than the sum of its proper divisors (165750618118572).

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

101000110000212 is a wasteful number, since it uses less digits than its factorization.

101000110000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157802629 (or 157802624 counting only the distinct ones).

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

Adding to 101000110000212 its reverse (212000011000101), we get a palindrome (313000121000313).

The spelling of 101000110000212 in words is "one hundred one trillion, one hundred ten million, two hundred twelve", and thus it is an aban number.