1022101112001 has 8 divisors (see below), whose sum is σ = 1376032565440. Its totient is φ = 674785199952.

The previous prime is 1022101111951. The next prime is 1022101112033. The reversal of 1022101112001 is 1002111012201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1022101112001 - 2⁹ = 1022101111489 is a prime.

It is a super-3 number, since 3×1022101112001³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022101110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1653884986 + ... + 1653885603.

It is an arithmetic number, because the mean of its divisors is an integer number (172004070680).

Almost surely, 2^{1022101112001} is an apocalyptic number.

It is an amenable number.

1022101112001 is a deficient number, since it is larger than the sum of its proper divisors (353931453439).

1022101112001 is a wasteful number, since it uses less digits than its factorization.

1022101112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307770695.

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

Adding to 1022101112001 its reverse (1002111012201), we get a palindrome (2024212124202).

The spelling of 1022101112001 in words is "one trillion, twenty-two billion, one hundred one million, one hundred twelve thousand, one".