2101241142 has 128 divisors (see below), whose sum is σ = 6269598720. Its totient is φ = 503781120.

The previous prime is 2101241099. The next prime is 2101241147. The reversal of 2101241142 is 2411421012.

2101241142 is a `hidden beast` number, since 210 + 1 + 2 + 411 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101241147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34618 + ... + 73490.

It is an arithmetic number, because the mean of its divisors is an integer number (48981240).

Almost surely, 2^2101241142 is an apocalyptic number.

2101241142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101241142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134799360).

2101241142 is an abundant number, since it is smaller than the sum of its proper divisors (4168357578).

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

2101241142 is a wasteful number, since it uses less digits than its factorization.

2101241142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38915 (or 38909 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2101241142 is about 45839.2969186919. The cubic root of 2101241142 is about 1280.8313979351.

Adding to 2101241142 its reverse (2411421012), we get a palindrome (4512662154).

The spelling of 2101241142 in words is "two billion, one hundred one million, two hundred forty-one thousand, one hundred forty-two".