21142101040100 has 36 divisors (see below), whose sum is σ = 47460371651700. Its totient is φ = 8165225228160.

The previous prime is 21142101040061. The next prime is 21142101040141. The reversal of 21142101040100 is 104010124112.

It can be written as a sum of positive squares in 6 ways, for example, as 71724338596 + 21070376701504 = 267814^2 + 4590248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3645186935 + ... + 3645192734.

Almost surely, 2^{21142101040100} is an apocalyptic number.

21142101040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21142101040100 is an abundant number, since it is smaller than the sum of its proper divisors (26318270611600).

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

21142101040100 is a wasteful number, since it uses less digits than its factorization.

21142101040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290379712 (or 7290379705 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21142101040100 its reverse (104010124112), we get a palindrome (21246111164212).

The spelling of 21142101040100 in words is "twenty-one trillion, one hundred forty-two billion, one hundred one million, forty thousand, one hundred".