169001011001100 has 144 divisors (see below), whose sum is σ = 491785467389216. Its totient is φ = 44808132096000.

The previous prime is 169001011001093. The next prime is 169001011001143. The reversal of 169001011001100 is 1100110100961.

169001011001100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×169001011001100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249278580 + ... + 249955620.

Almost surely, 2^{169001011001100} is an apocalyptic number.

169001011001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169001011001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245892733694608).

169001011001100 is an abundant number, since it is smaller than the sum of its proper divisors (322784456388116).

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

169001011001100 is a wasteful number, since it uses less digits than its factorization.

169001011001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681836 (or 681829 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 21.

The spelling of 169001011001100 in words is "one hundred sixty-nine trillion, one billion, eleven million, one thousand, one hundred".