10211002158 has 64 divisors (see below), whose sum is σ = 23748480000. Its totient is φ = 2866406400.

The previous prime is 10211002157. The next prime is 10211002159. The reversal of 10211002158 is 85120011201.

10211002158 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10211002157) and next prime (10211002159).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211002157) 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 31 ways as a sum of consecutive naturals, for example, 3198343 + ... + 3201533.

It is an arithmetic number, because the mean of its divisors is an integer number (371070000).

Almost surely, 2^10211002158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211002158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240000).

10211002158 is an abundant number, since it is smaller than the sum of its proper divisors (13537477842).

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

10211002158 is a wasteful number, since it uses less digits than its factorization.

10211002158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513.

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 10211002158 its reverse (85120011201), we get a palindrome (95331013359).

The spelling of 10211002158 in words is "ten billion, two hundred eleven million, two thousand, one hundred fifty-eight".