100633322122135 has 16 divisors (see below), whose sum is σ = 139487471092512. Its totient is φ = 68882701772800.

The previous prime is 100633322122129. The next prime is 100633322122147. The reversal of 100633322122135 is 531221223336001.

It is not a de Polignac number, because 100633322122135 - 2⁵ = 100633322122103 is a prime.

It is a super-3 number, since 3×100633322122135³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100633322122135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53814609826 + ... + 53814611695.

It is an arithmetic number, because the mean of its divisors is an integer number (8717966943282).

Almost surely, 2^{100633322122135} is an apocalyptic number.

100633322122135 is a deficient number, since it is larger than the sum of its proper divisors (38854148970377).

100633322122135 is a wasteful number, since it uses less digits than its factorization.

100633322122135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107629221554.

The product of its (nonzero) digits is 38880, while the sum is 34.

Adding to 100633322122135 its reverse (531221223336001), we get a palindrome (631854545458136).

The spelling of 100633322122135 in words is "one hundred trillion, six hundred thirty-three billion, three hundred twenty-two million, one hundred twenty-two thousand, one hundred thirty-five".