101122122002111 has 16 divisors (see below), whose sum is σ = 116080368744960. Its totient is φ = 86291953107360.

The previous prime is 101122122002053. The next prime is 101122122002117. The reversal of 101122122002111 is 111200221221101.

It is not a de Polignac number, because 101122122002111 - 2¹⁴ = 101122121985727 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101122122002111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122122002117) 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, 59655806 + ... + 61327476.

It is an arithmetic number, because the mean of its divisors is an integer number (7255023046560).

Almost surely, 2^{101122122002111} is an apocalyptic number.

101122122002111 is a deficient number, since it is larger than the sum of its proper divisors (14958246742849).

101122122002111 is a wasteful number, since it uses less digits than its factorization.

101122122002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709974.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101122122002111 its reverse (111200221221101), we get a palindrome (212322343223212).

The spelling of 101122122002111 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-two million, two thousand, one hundred eleven".