1001102121019 has 24 divisors (see below), whose sum is σ = 1368139571568. Its totient is φ = 720073448640.

The previous prime is 1001102121007. The next prime is 1001102121029. The reversal of 1001102121019 is 9101212011001.

It is not a de Polignac number, because 1001102121019 - 2⁷ = 1001102120891 is a prime.

It is a super-2 number, since 2×1001102121019² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001102120987 and 1001102121005.

It is not an unprimeable number, because it can be changed into a prime (1001102121029) 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 23 ways as a sum of consecutive naturals, for example, 71428852 + ... + 71442865.

It is an arithmetic number, because the mean of its divisors is an integer number (57005815482).

Almost surely, 2^{1001102121019} is an apocalyptic number.

1001102121019 is a deficient number, since it is larger than the sum of its proper divisors (367037450549).

1001102121019 is a wasteful number, since it uses less digits than its factorization.

1001102121019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142871755 (or 142871748 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 1001102121019 in words is "one trillion, one billion, one hundred two million, one hundred twenty-one thousand, nineteen".