1102101121100 has 36 divisors (see below), whose sum is σ = 2733210782064. Its totient is φ = 377863241280.

The previous prime is 1102101121049. The next prime is 1102101121103. The reversal of 1102101121100 is 11211012011.

It is a super-2 number, since 2×1102101121100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1102101121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 787214387 + ... + 787215786.

It is an arithmetic number, because the mean of its divisors is an integer number (75922521724).

Almost surely, 2^{1102101121100} is an apocalyptic number.

1102101121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102101121100 is an abundant number, since it is smaller than the sum of its proper divisors (1631109660964).

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

1102101121100 is a wasteful number, since it uses less digits than its factorization.

1102101121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574430194 (or 1574430187 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1102101121100 its reverse (11211012011), we get a palindrome (1113312133111).

The spelling of 1102101121100 in words is "one trillion, one hundred two billion, one hundred one million, one hundred twenty-one thousand, one hundred".