210100012100019 has 48 divisors (see below), whose sum is σ = 305814449910528. Its totient is φ = 138992377035456.

The previous prime is 210100012100003. The next prime is 210100012100089. The reversal of 210100012100019 is 910001210001012.

It is a happy number.

It is not a de Polignac number, because 210100012100019 - 2⁴ = 210100012100003 is a prime.

It is a super-2 number, since 2×210100012100019² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210100012099974 and 210100012100010.

It is not an unprimeable number, because it can be changed into a prime (210100012100089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7115507034 + ... + 7115536560.

It is an arithmetic number, because the mean of its divisors is an integer number (6371134373136).

Almost surely, 2^{210100012100019} is an apocalyptic number.

210100012100019 is a deficient number, since it is larger than the sum of its proper divisors (95714437810509).

210100012100019 is a wasteful number, since it uses less digits than its factorization.

210100012100019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41064 (or 41061 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 210100012100019 in words is "two hundred ten trillion, one hundred billion, twelve million, one hundred thousand, nineteen".