101122211221221 has 32 divisors (see below), whose sum is σ = 140397010266240. Its totient is φ = 64699080825600.

The previous prime is 101122211221219. The next prime is 101122211221247. The reversal of 101122211221221 is 122122112221101.

It is not a de Polignac number, because 101122211221221 - 2¹ = 101122211221219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122211221211) 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, 27045711 + ... + 30556748.

It is an arithmetic number, because the mean of its divisors is an integer number (4387406570820).

Almost surely, 2^{101122211221221} is an apocalyptic number.

It is an amenable number.

101122211221221 is a deficient number, since it is larger than the sum of its proper divisors (39274799045019).

101122211221221 is a wasteful number, since it uses less digits than its factorization.

101122211221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57602757.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 101122211221221 its reverse (122122112221101), we get a palindrome (223244323442322).

The spelling of 101122211221221 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twenty-one thousand, two hundred twenty-one".