100110211069104 has 320 divisors, whose sum is σ = 296506259527680. Its totient is φ = 32322724761600.

The previous prime is 100110211069073. The next prime is 100110211069123. The reversal of 100110211069104 is 401960112011001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1553244079 + ... + 1553308529.

It is an arithmetic number, because the mean of its divisors is an integer number (926582061024).

Almost surely, 2^{100110211069104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110211069104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148253129763840).

100110211069104 is an abundant number, since it is smaller than the sum of its proper divisors (196396048458576).

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

100110211069104 is a wasteful number, since it uses less digits than its factorization.

100110211069104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65305 (or 65293 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 100110211069104 in words is "one hundred trillion, one hundred ten billion, two hundred eleven million, sixty-nine thousand, one hundred four".