101220100221009 has 48 divisors (see below), whose sum is σ = 172962372897216. Its totient is φ = 52061257584000.

The previous prime is 101220100220989. The next prime is 101220100221011. The reversal of 101220100221009 is 900122001022101.

It is not a de Polignac number, because 101220100221009 - 2⁸ = 101220100220753 is a prime.

It is a super-2 number, since 2×101220100221009² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (101220100229009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309725122 + ... + 310051755.

It is an arithmetic number, because the mean of its divisors is an integer number (3603382768692).

Almost surely, 2^{101220100221009} is an apocalyptic number.

It is an amenable number.

101220100221009 is a deficient number, since it is larger than the sum of its proper divisors (71742272676207).

101220100221009 is a wasteful number, since it uses less digits than its factorization.

101220100221009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619777006 (or 619776999 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 101220100221009 in words is "one hundred one trillion, two hundred twenty billion, one hundred million, two hundred twenty-one thousand, nine".