2040101042100 has 144 divisors (see below), whose sum is σ = 6445618245696. Its totient is φ = 494084736000.

The previous prime is 2040101042093. The next prime is 2040101042167. The reversal of 2040101042100 is 12401010402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2040101042100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3066552 + ... + 3672048.

Almost surely, 2^{2040101042100} is an apocalyptic number.

2040101042100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040101042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222809122848).

2040101042100 is an abundant number, since it is smaller than the sum of its proper divisors (4405517203596).

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

2040101042100 is a wasteful number, since it uses less digits than its factorization.

2040101042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606546 (or 606539 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2040101042100 its reverse (12401010402), we get a palindrome (2052502052502).

The spelling of 2040101042100 in words is "two trillion, forty billion, one hundred one million, forty-two thousand, one hundred".