10121322211011 has 32 divisors (see below), whose sum is σ = 16392719865600. Its totient is φ = 6120999397440.

The previous prime is 10121322211003. The next prime is 10121322211061. The reversal of 10121322211011 is 11011222312101.

It is a happy number.

10121322211011 is a `hidden beast` number, since 1 + 0 + 121 + 322 + 211 + 0 + 11 = 666.

It is not a de Polignac number, because 10121322211011 - 2³ = 10121322211003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121322211061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36347946 + ... + 36625343.

It is an arithmetic number, because the mean of its divisors is an integer number (512272495800).

Almost surely, 2^{10121322211011} is an apocalyptic number.

10121322211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121322211011 is a deficient number, since it is larger than the sum of its proper divisors (6271397654589).

10121322211011 is a wasteful number, since it uses less digits than its factorization.

10121322211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72973776 (or 72973770 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10121322211011 its reverse (11011222312101), we get a palindrome (21132544523112).

The spelling of 10121322211011 in words is "ten trillion, one hundred twenty-one billion, three hundred twenty-two million, two hundred eleven thousand, eleven".