122220000102101 has 16 divisors (see below), whose sum is σ = 133469661124800. Its totient is φ = 110993517398400.

The previous prime is 122220000102071. The next prime is 122220000102103. The reversal of 122220000102101 is 101201000022221.

It is a cyclic number.

It is not a de Polignac number, because 122220000102101 - 2¹⁸ = 122219999839957 is a prime.

It is a super-2 number, since 2×122220000102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122220000102103) 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, 44875361 + ... + 47520921.

It is an arithmetic number, because the mean of its divisors is an integer number (8341853820300).

Almost surely, 2^{122220000102101} is an apocalyptic number.

122220000102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122220000102101 is a deficient number, since it is larger than the sum of its proper divisors (11249661022699).

122220000102101 is a wasteful number, since it uses less digits than its factorization.

122220000102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649940.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122220000102101 its reverse (101201000022221), we get a palindrome (223421000124322).

The spelling of 122220000102101 in words is "one hundred twenty-two trillion, two hundred twenty billion, one hundred two thousand, one hundred one".