101122012000001 has 4 divisors (see below), whose sum is σ = 101122198798404. Its totient is φ = 101121825201600.

The previous prime is 101122011999989. The next prime is 101122012000013. The reversal of 101122012000001 is 100000210221101.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (101122011999989) and next prime (101122012000013).

It can be written as a sum of positive squares in 2 ways, for example, as 82868268446401 + 18253743553600 = 9103201^2 + 4272440^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122012000001 - 2⁶ = 101122011999937 is a prime.

It is a super-2 number, since 2×101122012000001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101122012000021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92584820 + ... + 93670661.

It is an arithmetic number, because the mean of its divisors is an integer number (25280549699601).

Almost surely, 2^{101122012000001} is an apocalyptic number.

It is an amenable number.

101122012000001 is a deficient number, since it is larger than the sum of its proper divisors (186798403).

101122012000001 is an equidigital number, since it uses as much as digits as its factorization.

101122012000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186798402.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101122012000001 its reverse (100000210221101), we get a palindrome (201122222221102).

The spelling of 101122012000001 in words is "one hundred one trillion, one hundred twenty-two billion, twelve million, one", and thus it is an aban number.