101145511104 has 224 divisors, whose sum is σ = 296744014080. Its totient is φ = 30150144000.

The previous prime is 101145511079. The next prime is 101145511111. The reversal of 101145511104 is 401115541101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 34768402 + ... + 34771310.

Almost surely, 2^101145511104 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 101145511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148372007040).

101145511104 is an abundant number, since it is smaller than the sum of its proper divisors (195598502976).

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

101145511104 is a wasteful number, since it uses less digits than its factorization.

101145511104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 24.

The spelling of 101145511104 in words is "one hundred one billion, one hundred forty-five million, five hundred eleven thousand, one hundred four".