10231101122011 has 64 divisors (see below), whose sum is σ = 12940154634240. Its totient is φ = 7857771120000.

The previous prime is 10231101121973. The next prime is 10231101122023. The reversal of 10231101122011 is 11022110113201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10231101122011 - 2¹⁹ = 10231100597723 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10231101120011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1766721526 + ... + 1766727316.

It is an arithmetic number, because the mean of its divisors is an integer number (202189916160).

Almost surely, 2^{10231101122011} is an apocalyptic number.

10231101122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10231101122011 is a deficient number, since it is larger than the sum of its proper divisors (2709053512229).

10231101122011 is a wasteful number, since it uses less digits than its factorization.

10231101122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6896.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10231101122011 its reverse (11022110113201), we get a palindrome (21253211235212).

The spelling of 10231101122011 in words is "ten trillion, two hundred thirty-one billion, one hundred one million, one hundred twenty-two thousand, eleven".