2100042101040 has 160 divisors (see below), whose sum is σ = 7026056970240. Its totient is φ = 515816598528.

The previous prime is 2100042100993. The next prime is 2100042101041. The reversal of 2100042101040 is 401012400012.

It is a super-2 number, since 2×2100042101040² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2100042101041) 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 31 ways as a sum of consecutive naturals, for example, 717681 + ... + 2171439.

It is an arithmetic number, because the mean of its divisors is an integer number (43912856064).

Almost surely, 2^{2100042101040} is an apocalyptic number.

2100042101040 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 2100042101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513028485120).

2100042101040 is an abundant number, since it is smaller than the sum of its proper divisors (4926014869200).

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

2100042101040 is a wasteful number, since it uses less digits than its factorization.

2100042101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454251 (or 1454245 counting only the distinct ones).

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

Adding to 2100042101040 its reverse (401012400012), we get a palindrome (2501054501052).

The spelling of 2100042101040 in words is "two trillion, one hundred billion, forty-two million, one hundred one thousand, forty".