2101137528 has 32 divisors (see below), whose sum is σ = 6003250560. Its totient is φ = 600324960.

The previous prime is 2101137523. The next prime is 2101137547. The reversal of 2101137528 is 8257311012.

It is a junction number, because it is equal to n+sod(n) for n = 2101137495 and 2101137504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101137523) 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 7 ways as a sum of consecutive naturals, for example, 6253218 + ... + 6253553.

It is an arithmetic number, because the mean of its divisors is an integer number (187601580).

Almost surely, 2^2101137528 is an apocalyptic number.

2101137528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2101137528 is an abundant number, since it is smaller than the sum of its proper divisors (3902113032).

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

2101137528 is a wasteful number, since it uses less digits than its factorization.

2101137528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12506787 (or 12506783 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 2101137528 is about 45838.1667172674. The cubic root of 2101137528 is about 1280.8103446248.

It can be divided in two parts, 21011375 and 28, that added together give a triangular number (21011403 = T₆₄₈₂).

The spelling of 2101137528 in words is "two billion, one hundred one million, one hundred thirty-seven thousand, five hundred twenty-eight".