102133013133021 has 16 divisors (see below), whose sum is σ = 146662197889536. Its totient is φ = 62846942342976.

The previous prime is 102133013133007. The next prime is 102133013133023. The reversal of 102133013133021 is 120331310331201.

It is not a de Polignac number, because 102133013133021 - 2¹⁰ = 102133013131997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102133013132982 and 102133013133000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133013133023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85706125 + ... + 86889618.

It is an arithmetic number, because the mean of its divisors is an integer number (9166387368096).

Almost surely, 2^{102133013133021} is an apocalyptic number.

It is an amenable number.

102133013133021 is a deficient number, since it is larger than the sum of its proper divisors (44529184756515).

102133013133021 is a wasteful number, since it uses less digits than its factorization.

102133013133021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172610932.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 102133013133021 its reverse (120331310331201), we get a palindrome (222464323464222).

The spelling of 102133013133021 in words is "one hundred two trillion, one hundred thirty-three billion, thirteen million, one hundred thirty-three thousand, twenty-one".