10005616611102 has 32 divisors (see below), whose sum is σ = 24215273816832. Its totient is φ = 2690585979264.

The previous prime is 10005616611059. The next prime is 10005616611131. The reversal of 10005616611102 is 20111661650001.

It is a super-2 number, since 2×10005616611102² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10005616611102.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7006733608 + ... + 7006735035.

It is an arithmetic number, because the mean of its divisors is an integer number (756727306776).

Almost surely, 2^{10005616611102} is an apocalyptic number.

10005616611102 is an abundant number, since it is smaller than the sum of its proper divisors (14209657205730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10005616611102 is a wasteful number, since it uses less digits than its factorization.

10005616611102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14013468672.

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 10005616611102 in words is "ten trillion, five billion, six hundred sixteen million, six hundred eleven thousand, one hundred two".