1001101122021 has 128 divisors (see below), whose sum is σ = 1808354967552. Its totient is φ = 475735680000.

The previous prime is 1001101122019. The next prime is 1001101122061. The reversal of 1001101122021 is 1202211011001.

It is not a de Polignac number, because 1001101122021 - 2¹ = 1001101122019 is a prime.

It is a super-2 number, since 2×1001101122021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001101121988 and 1001101122006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101122001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158876571 + ... + 158882871.

It is an arithmetic number, because the mean of its divisors is an integer number (14127773184).

Almost surely, 2^{1001101122021} is an apocalyptic number.

1001101122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001101122021 is a deficient number, since it is larger than the sum of its proper divisors (807253845531).

1001101122021 is a wasteful number, since it uses less digits than its factorization.

1001101122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6803.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001101122021 its reverse (1202211011001), we get a palindrome (2203312133022).

The spelling of 1001101122021 in words is "one trillion, one billion, one hundred one million, one hundred twenty-two thousand, twenty-one".