10211001012 has 72 divisors (see below), whose sum is σ = 26099865792. Its totient is φ = 3365712000.

The previous prime is 10211000993. The next prime is 10211001019. The reversal of 10211001012 is 21010011201.

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 = 10211000985 and 10211001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211001019) 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, 2428512 + ... + 2432712.

It is an arithmetic number, because the mean of its divisors is an integer number (362498136).

Almost surely, 2^10211001012 is an apocalyptic number.

10211001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211001012 is an abundant number, since it is smaller than the sum of its proper divisors (15888864780).

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

10211001012 is a wasteful number, since it uses less digits than its factorization.

10211001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949 (or 4944 counting only the distinct ones).

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

Adding to 10211001012 its reverse (21010011201), we get a palindrome (31221012213).

The spelling of 10211001012 in words is "ten billion, two hundred eleven million, one thousand, twelve".