2010101122001 has 16 divisors (see below), whose sum is σ = 2302125184128. Its totient is φ = 1719295113600.

The previous prime is 2010101121991. The next prime is 2010101122019. The reversal of 2010101122001 is 1002211010102.

It is a cyclic number.

It is not a de Polignac number, because 2010101122001 - 2¹⁰ = 2010101120977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2010101122031) 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, 18547511 + ... + 18655571.

It is an arithmetic number, because the mean of its divisors is an integer number (143882824008).

Almost surely, 2^{2010101122001} is an apocalyptic number.

It is an amenable number.

2010101122001 is a deficient number, since it is larger than the sum of its proper divisors (292024062127).

2010101122001 is a wasteful number, since it uses less digits than its factorization.

2010101122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113672.

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

Adding to 2010101122001 its reverse (1002211010102), we get a palindrome (3012312132103).

The spelling of 2010101122001 in words is "two trillion, ten billion, one hundred one million, one hundred twenty-two thousand, one".