34140021012100 has 18 divisors (see below), whose sum is σ = 74083845596474. Its totient is φ = 13656008404800.

The previous prime is 34140021012043. The next prime is 34140021012127. The reversal of 34140021012100 is 121012004143.

It can be written as a sum of positive squares in 3 ways, for example, as 1148260996 + 34138872751104 = 33886^2 + 5842848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 170700104961 + ... + 170700105160.

Almost surely, 2^{34140021012100} is an apocalyptic number.

It is an amenable number.

34140021012100 is an abundant number, since it is smaller than the sum of its proper divisors (39943824584374).

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

34140021012100 is a wasteful number, since it uses less digits than its factorization.

34140021012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341400210135 (or 341400210128 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 34140021012100 its reverse (121012004143), we get a palindrome (34261033016243).

The spelling of 34140021012100 in words is "thirty-four trillion, one hundred forty billion, twenty-one million, twelve thousand, one hundred".