101201100111221 has 48 divisors (see below), whose sum is σ = 114997511268864. Its totient is φ = 88317972288000.

The previous prime is 101201100111203. The next prime is 101201100111257. The reversal of 101201100111221 is 122111001102101.

It is not a de Polignac number, because 101201100111221 - 2⁶ = 101201100111157 is a prime.

It is a super-2 number, since 2×101201100111221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101201100111196 and 101201100111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201100111821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 662334185 + ... + 662486961.

It is an arithmetic number, because the mean of its divisors is an integer number (2395781484768).

Almost surely, 2^{101201100111221} is an apocalyptic number.

101201100111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201100111221 is a deficient number, since it is larger than the sum of its proper divisors (13796411157643).

101201100111221 is a wasteful number, since it uses less digits than its factorization.

101201100111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153354 (or 153323 counting only the distinct ones).

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

Adding to 101201100111221 its reverse (122111001102101), we get a palindrome (223312101213322).

The spelling of 101201100111221 in words is "one hundred one trillion, two hundred one billion, one hundred million, one hundred eleven thousand, two hundred twenty-one".