10121101100110 has 192 divisors, whose sum is σ = 24610221342720. Its totient is φ = 2910151895040.

The previous prime is 10121101100057. The next prime is 10121101100147. The reversal of 10121101100110 is 1100110112101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216382806 + ... + 216429574.

It is an arithmetic number, because the mean of its divisors is an integer number (128178236160).

Almost surely, 2^{10121101100110} is an apocalyptic number.

10121101100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10121101100110 is an abundant number, since it is smaller than the sum of its proper divisors (14489120242610).

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

10121101100110 is a wasteful number, since it uses less digits than its factorization.

10121101100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48483 (or 48470 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10121101100110 its reverse (1100110112101), we get a palindrome (11221211212211).

The spelling of 10121101100110 in words is "ten trillion, one hundred twenty-one billion, one hundred one million, one hundred thousand, one hundred ten".