1012101122001 has 8 divisors (see below), whose sum is σ = 1349474143744. Its totient is φ = 674731090800.

The previous prime is 1012101121973. The next prime is 1012101122009. The reversal of 1012101122001 is 1002211012101.

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

It is not a de Polignac number, because 1012101122001 - 2³³ = 1003511187409 is a prime.

It is a super-3 number, since 3×1012101122001³ (a number of 37 digits) contains 333 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 (1012101122009) 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, 221520 + ... + 1439886.

It is an arithmetic number, because the mean of its divisors is an integer number (168684267968).

Almost surely, 2^{1012101122001} is an apocalyptic number.

It is an amenable number.

1012101122001 is a deficient number, since it is larger than the sum of its proper divisors (337373021743).

1012101122001 is a wasteful number, since it uses less digits than its factorization.

1012101122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495271.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012101122001 its reverse (1002211012101), we get a palindrome (2014312134102).

The spelling of 1012101122001 in words is "one trillion, twelve billion, one hundred one million, one hundred twenty-two thousand, one".