2101101040 has 40 divisors (see below), whose sum is σ = 5053515840. Its totient is φ = 811458816.

The previous prime is 2101101031. The next prime is 2101101049. The reversal of 2101101040 is 401011012.

It is an interprime number because it is at equal distance from previous prime (2101101031) and next prime (2101101049).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101101049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450504 + ... + 455143.

It is an arithmetic number, because the mean of its divisors is an integer number (126337896).

Almost surely, 2^2101101040 is an apocalyptic number.

2101101040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101101040 is an abundant number, since it is smaller than the sum of its proper divisors (2952414800).

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

2101101040 is a wasteful number, since it uses less digits than its factorization.

2101101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905689 (or 905683 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2101101040 is about 45837.7687066026. The cubic root of 2101101040 is about 1280.8029304697.

Adding to 2101101040 its reverse (401011012), we get a palindrome (2502112052).

The spelling of 2101101040 in words is "two billion, one hundred one million, one hundred one thousand, forty".