2000101122201 has 32 divisors (see below), whose sum is σ = 3349201273600. Its totient is φ = 1054998387072.

The previous prime is 2000101122167. The next prime is 2000101122251. The reversal of 2000101122201 is 1022211010002.

It is not a de Polignac number, because 2000101122201 - 2¹⁷ = 2000100991129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2000101122251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74745580 + ... + 74772333.

It is an arithmetic number, because the mean of its divisors is an integer number (104662539800).

Almost surely, 2^{2000101122201} is an apocalyptic number.

2000101122201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2000101122201 is a deficient number, since it is larger than the sum of its proper divisors (1349100151399).

2000101122201 is a wasteful number, since it uses less digits than its factorization.

2000101122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149517950 (or 149517936 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2000101122201 its reverse (1022211010002), we get a palindrome (3022312132203).

The spelling of 2000101122201 in words is "two trillion, one hundred one million, one hundred twenty-two thousand, two hundred one".