122211012100001 has 8 divisors (see below), whose sum is σ = 140338004325600. Its totient is φ = 105253503243840.

The previous prime is 122211012099983. The next prime is 122211012100007. The reversal of 122211012100001 is 100001210112221.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122211012100001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122211012100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292370842136 + ... + 292370842553.

It is an arithmetic number, because the mean of its divisors is an integer number (17542250540700).

Almost surely, 2^{122211012100001} is an apocalyptic number.

122211012100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122211012100001 is a deficient number, since it is larger than the sum of its proper divisors (18126992225599).

122211012100001 is a wasteful number, since it uses less digits than its factorization.

122211012100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584741684719.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122211012100001 its reverse (100001210112221), we get a palindrome (222212222212222).

The spelling of 122211012100001 in words is "one hundred twenty-two trillion, two hundred eleven billion, twelve million, one hundred thousand, one".