101022111002132 has 12 divisors (see below), whose sum is σ = 176789394042996. Its totient is φ = 50510855561280.

The previous prime is 101022111002117. The next prime is 101022111002147. The reversal of 101022111002132 is 231200111220101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101022111002117) and next prime (101022111002147).

It can be written as a sum of positive squares in 2 ways, for example, as 65140621308676 + 35881489693456 = 8070974^2 + 5990116^2 .

It is a super-2 number, since 2×101022111002132² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101022111002132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48845219 + ... + 50871402.

It is an arithmetic number, because the mean of its divisors is an integer number (14732449503583).

Almost surely, 2^{101022111002132} is an apocalyptic number.

It is an amenable number.

101022111002132 is a deficient number, since it is larger than the sum of its proper divisors (75767283040864).

101022111002132 is a wasteful number, since it uses less digits than its factorization.

101022111002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99969898 (or 99969896 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101022111002132 its reverse (231200111220101), we get a palindrome (332222222222233).

The spelling of 101022111002132 in words is "one hundred one trillion, twenty-two billion, one hundred eleven million, two thousand, one hundred thirty-two".