1011102101984 has 24 divisors (see below), whose sum is σ = 2143730899800. Its totient is φ = 466662508416.

The previous prime is 1011102101963. The next prime is 1011102102013. The reversal of 1011102101984 is 4891012011101.

1011102101984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1011102101984³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1215266534 + ... + 1215267365.

It is an arithmetic number, because the mean of its divisors is an integer number (89322120825).

Almost surely, 2^{1011102101984} is an apocalyptic number.

It is an amenable number.

1011102101984 is an abundant number, since it is smaller than the sum of its proper divisors (1132628797816).

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

1011102101984 is a wasteful number, since it uses less digits than its factorization.

1011102101984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430533922 (or 2430533914 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 29.

The spelling of 1011102101984 in words is "one trillion, eleven billion, one hundred two million, one hundred one thousand, nine hundred eighty-four".