2101342343100 has 1152 divisors, whose sum is σ = 8422794240000. Its totient is φ = 390342758400.

The previous prime is 2101342343081. The next prime is 2101342343101. The reversal of 2101342343100 is 13432431012.

It is a happy number.

It is a super-2 number, since 2×2101342343100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101342343101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4211106651 + ... + 4211107149.

Almost surely, 2^{2101342343100} is an apocalyptic number.

2101342343100 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 2101342343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211397120000).

2101342343100 is an abundant number, since it is smaller than the sum of its proper divisors (6321451896900).

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

2101342343100 is a wasteful number, since it uses less digits than its factorization.

2101342343100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2101342343100 its reverse (13432431012), we get a palindrome (2114774774112).

It can be divided in two parts, 2101342 and 343100, that added together give a palindrome (2444442).

The spelling of 2101342343100 in words is "two trillion, one hundred one billion, three hundred forty-two million, three hundred forty-three thousand, one hundred".