10106885122881 has 32 divisors (see below), whose sum is σ = 14581225021440. Its totient is φ = 6213590006400.

The previous prime is 10106885122837. The next prime is 10106885122897. The reversal of 10106885122881 is 18822158860101.

It is a happy number.

It is not a de Polignac number, because 10106885122881 - 2¹⁹ = 10106884598593 is a prime.

It is a super-2 number, since 2×10106885122881² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10106885122381) 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 31 ways as a sum of consecutive naturals, for example, 30657421 + ... + 30985338.

It is an arithmetic number, because the mean of its divisors is an integer number (455663281920).

Almost surely, 2^{10106885122881} is an apocalyptic number.

It is an amenable number.

10106885122881 is a deficient number, since it is larger than the sum of its proper divisors (4474339898559).

10106885122881 is a wasteful number, since it uses less digits than its factorization.

10106885122881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61642877.

The product of its (nonzero) digits is 491520, while the sum is 51.

The spelling of 10106885122881 in words is "ten trillion, one hundred six billion, eight hundred eighty-five million, one hundred twenty-two thousand, eight hundred eighty-one".