10100122123311 has 96 divisors (see below), whose sum is σ = 17313362516736. Its totient is φ = 5603437440000.

The previous prime is 10100122123291. The next prime is 10100122123319. The reversal of 10100122123311 is 11332122100101.

10100122123311 is a `hidden beast` number, since 10 + 100 + 1 + 221 + 2 + 331 + 1 = 666.

It is not a de Polignac number, because 10100122123311 - 2³¹ = 10097974639663 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100122123319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177506176 + ... + 177563066.

It is an arithmetic number, because the mean of its divisors is an integer number (180347526216).

Almost surely, 2^{10100122123311} is an apocalyptic number.

10100122123311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100122123311 is a deficient number, since it is larger than the sum of its proper divisors (7213240393425).

10100122123311 is a wasteful number, since it uses less digits than its factorization.

10100122123311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59813 (or 59810 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10100122123311 its reverse (11332122100101), we get a palindrome (21432244223412).

The spelling of 10100122123311 in words is "ten trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-three thousand, three hundred eleven".