101100011211221 has 16 divisors (see below), whose sum is σ = 119626881671808. Its totient is φ = 84392861836800.

The previous prime is 101100011211209. The next prime is 101100011211247. The reversal of 101100011211221 is 122112110001101.

It is not a de Polignac number, because 101100011211221 - 2²⁶ = 101099944102357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100011211196 and 101100011211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100011216221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6593184665 + ... + 6593199998.

It is an arithmetic number, because the mean of its divisors is an integer number (7476680104488).

Almost surely, 2^{101100011211221} is an apocalyptic number.

101100011211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100011211221 is a deficient number, since it is larger than the sum of its proper divisors (18526870460587).

101100011211221 is a wasteful number, since it uses less digits than its factorization.

101100011211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13186384732.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101100011211221 its reverse (122112110001101), we get a palindrome (223212121212322).

It can be divided in two parts, 1011000 and 11211221, that added together give a palindrome (12222221).

The spelling of 101100011211221 in words is "one hundred one trillion, one hundred billion, eleven million, two hundred eleven thousand, two hundred twenty-one".