10011002211345 has 32 divisors (see below), whose sum is σ = 16955282044800. Its totient is φ = 5035204952064.

The previous prime is 10011002211317. The next prime is 10011002211373. The reversal of 10011002211345 is 54311220011001.

It is an interprime number because it is at equal distance from previous prime (10011002211317) and next prime (10011002211373).

It is not a de Polignac number, because 10011002211345 - 2¹² = 10011002207249 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267583600 + ... + 267621009.

It is an arithmetic number, because the mean of its divisors is an integer number (529852563900).

Almost surely, 2^{10011002211345} is an apocalyptic number.

10011002211345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10011002211345 is a deficient number, since it is larger than the sum of its proper divisors (6944279833455).

10011002211345 is a wasteful number, since it uses less digits than its factorization.

10011002211345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535204689.

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 10011002211345 its reverse (54311220011001), we get a palindrome (64322222222346).

The spelling of 10011002211345 in words is "ten trillion, eleven billion, two million, two hundred eleven thousand, three hundred forty-five".