10214115402132 has 36 divisors (see below), whose sum is σ = 25820987095540. Its totient is φ = 3404444936832.

The previous prime is 10214115402131. The next prime is 10214115402191. The reversal of 10214115402132 is 23120451141201.

10214115402132 is a `hidden beast` number, since 1 + 0 + 2 + 14 + 115 + 402 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9857176068996 + 356939333136 = 3139614^2 + 597444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 10214115402096 and 10214115402105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214115402131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10363657 + ... + 11306352.

Almost surely, 2^{10214115402132} is an apocalyptic number.

10214115402132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10214115402132 is an abundant number, since it is smaller than the sum of its proper divisors (15606871693408).

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

10214115402132 is a wasteful number, since it uses less digits than its factorization.

10214115402132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21683112 (or 21683107 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 10214115402132 its reverse (23120451141201), we get a palindrome (33334566543333).

The spelling of 10214115402132 in words is "ten trillion, two hundred fourteen billion, one hundred fifteen million, four hundred two thousand, one hundred thirty-two".