101122002131033 has 16 divisors (see below), whose sum is σ = 114256385789952. Its totient is φ = 88851452040000.

The previous prime is 101122002130927. The next prime is 101122002131147. The reversal of 101122002131033 is 330131200221101.

It is a happy number.

It is not a de Polignac number, because 101122002131033 - 2²⁴ = 101121985353817 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101122002130996 and 101122002131014.

It is not an unprimeable number, because it can be changed into a prime (101122002136033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2056721993 + ... + 2056771158.

It is an arithmetic number, because the mean of its divisors is an integer number (7141024111872).

Almost surely, 2^{101122002131033} is an apocalyptic number.

101122002131033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101122002131033 is a deficient number, since it is larger than the sum of its proper divisors (13134383658919).

101122002131033 is a wasteful number, since it uses less digits than its factorization.

101122002131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113493256.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101122002131033 its reverse (330131200221101), we get a palindrome (431253202352134).

The spelling of 101122002131033 in words is "one hundred one trillion, one hundred twenty-two billion, two million, one hundred thirty-one thousand, thirty-three".