1010101122001 has 8 divisors (see below), whose sum is σ = 1065861469440. Its totient is φ = 955327683552.

The previous prime is 1010101121977. The next prime is 1010101122029. The reversal of 1010101122001 is 1002211010101.

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

It is a cyclic number.

It is not a de Polignac number, because 1010101122001 - 2⁷ = 1010101121873 is a prime.

It is a super-3 number, since 3×1010101122001³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010101122091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246725145 + ... + 246729238.

It is an arithmetic number, because the mean of its divisors is an integer number (133232683680).

Almost surely, 2^{1010101122001} is an apocalyptic number.

It is an amenable number.

1010101122001 is a deficient number, since it is larger than the sum of its proper divisors (55760347439).

1010101122001 is an equidigital number, since it uses as much as digits as its factorization.

1010101122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493454495.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010101122001 its reverse (1002211010101), we get a palindrome (2012312132102).

The spelling of 1010101122001 in words is "one trillion, ten billion, one hundred one million, one hundred twenty-two thousand, one".