10122211001019 has 48 divisors (see below), whose sum is σ = 14633208732384. Its totient is φ = 6221006438400.

The previous prime is 10122211000933. The next prime is 10122211001039. The reversal of 10122211001019 is 91010011222101.

It is not a de Polignac number, because 10122211001019 - 2⁹ = 10122211000507 is a prime.

It is a super-4 number, since 4×10122211001019⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10122211000986 and 10122211001004.

It is not an unprimeable number, because it can be changed into a prime (10122211001039) 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, 1833398979 + ... + 1833404499.

It is an arithmetic number, because the mean of its divisors is an integer number (304858515258).

Almost surely, 2^{10122211001019} is an apocalyptic number.

10122211001019 is a deficient number, since it is larger than the sum of its proper divisors (4510997731365).

10122211001019 is a wasteful number, since it uses less digits than its factorization.

10122211001019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9568 (or 9555 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 10122211001019 in words is "ten trillion, one hundred twenty-two billion, two hundred eleven million, one thousand, nineteen".