20010100199967 has 8 divisors (see below), whose sum is σ = 29644592888880. Its totient is φ = 13340066799960.

The previous prime is 20010100199911. The next prime is 20010100199989. The reversal of 20010100199967 is 76999100101002.

It is not a de Polignac number, because 20010100199967 - 2⁷ = 20010100199839 is a prime.

It is a super-2 number, since 2×20010100199967² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010100159967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 370557411084 + ... + 370557411137.

It is an arithmetic number, because the mean of its divisors is an integer number (3705574111110).

Almost surely, 2^{20010100199967} is an apocalyptic number.

20010100199967 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

20010100199967 is a deficient number, since it is larger than the sum of its proper divisors (9634492688913).

20010100199967 is an equidigital number, since it uses as much as digits as its factorization.

20010100199967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741114822230 (or 741114822224 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

The spelling of 20010100199967 in words is "twenty trillion, ten billion, one hundred million, one hundred ninety-nine thousand, nine hundred sixty-seven".