1102355010400 has 72 divisors (see below), whose sum is σ = 3075570494640. Its totient is φ = 377950287360.

The previous prime is 1102355010349. The next prime is 1102355010403. The reversal of 1102355010400 is 40105532011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102355010403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98418955 + ... + 98430154.

It is an arithmetic number, because the mean of its divisors is an integer number (42716256870).

Almost surely, 2^{1102355010400} is an apocalyptic number.

1102355010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102355010400 is an abundant number, since it is smaller than the sum of its proper divisors (1973215484240).

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

1102355010400 is a wasteful number, since it uses less digits than its factorization.

1102355010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196849136 (or 196849123 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 1102355010400 in words is "one trillion, one hundred two billion, three hundred fifty-five million, ten thousand, four hundred".