10102111002 has 24 divisors (see below), whose sum is σ = 22396929984. Its totient is φ = 3289059144.

The previous prime is 10102110943. The next prime is 10102111003. The reversal of 10102111002 is 20011120101.

It is a happy number.

10102111002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10102111003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6525138 + ... + 6526685.

It is an arithmetic number, because the mean of its divisors is an integer number (933205416).

Almost surely, 2^10102111002 is an apocalyptic number.

10102111002 is an abundant number, since it is smaller than the sum of its proper divisors (12294818982).

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

10102111002 is a wasteful number, since it uses less digits than its factorization.

10102111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13051874 (or 13051871 counting only the distinct ones).

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

Adding to 10102111002 its reverse (20011120101), we get a palindrome (30113231103).

Subtracting 10102111002 from its reverse (20011120101), we obtain a palindrome (9909009099).

It can be divided in two parts, 10102 and 111002, that added together give a square (121104 = 348²).

The spelling of 10102111002 in words is "ten billion, one hundred two million, one hundred eleven thousand, two".