1022101032131 has 8 divisors (see below), whose sum is σ = 1028233795344. Its totient is φ = 1015980426720.

The previous prime is 1022101032119. The next prime is 1022101032143. The reversal of 1022101032131 is 1312301012201.

It is an interprime number because it is at equal distance from previous prime (1022101032119) and next prime (1022101032143).

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

It is a cyclic number.

It is not a de Polignac number, because 1022101032131 - 2⁶ = 1022101032067 is a prime.

It is a super-3 number, since 3×1022101032131³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022101032151) 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, 2870780 + ... + 3207113.

It is an arithmetic number, because the mean of its divisors is an integer number (128529224418).

Almost surely, 2^{1022101032131} is an apocalyptic number.

1022101032131 is a deficient number, since it is larger than the sum of its proper divisors (6132763213).

1022101032131 is an equidigital number, since it uses as much as digits as its factorization.

1022101032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078901.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1022101032131 its reverse (1312301012201), we get a palindrome (2334402044332).

The spelling of 1022101032131 in words is "one trillion, twenty-two billion, one hundred one million, thirty-two thousand, one hundred thirty-one".