101122220100213 has 40 divisors (see below), whose sum is σ = 163108284108000. Its totient is φ = 62064865511712.

The previous prime is 101122220100211. The next prime is 101122220100227. The reversal of 101122220100213 is 312001022221101.

101122220100213 is a `hidden beast` number, since 10 + 1 + 122 + 220 + 100 + 213 = 666.

It is not a de Polignac number, because 101122220100213 - 2¹ = 101122220100211 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122220100211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126292863 + ... + 127091036.

It is an arithmetic number, because the mean of its divisors is an integer number (4077707102700).

Almost surely, 2^{101122220100213} is an apocalyptic number.

101122220100213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101122220100213 is a deficient number, since it is larger than the sum of its proper divisors (61986064007787).

101122220100213 is a wasteful number, since it uses less digits than its factorization.

101122220100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253384303 (or 253384294 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101122220100213 its reverse (312001022221101), we get a palindrome (413123242321314).

The spelling of 101122220100213 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty million, one hundred thousand, two hundred thirteen".