10101121101100 has 18 divisors (see below), whose sum is σ = 21919432789604. Its totient is φ = 4040448440400.

The previous prime is 10101121101089. The next prime is 10101121101119. The reversal of 10101121101100 is 110112110101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50505605406 + ... + 50505605605.

Almost surely, 2^{10101121101100} is an apocalyptic number.

10101121101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101121101100 is an abundant number, since it is smaller than the sum of its proper divisors (11818311688504).

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

10101121101100 is a wasteful number, since it uses less digits than its factorization.

10101121101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101011211025 (or 101011211018 counting only the distinct ones).

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

Adding to 10101121101100 its reverse (110112110101), we get a palindrome (10211233211201).

The spelling of 10101121101100 in words is "ten trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, one hundred".