101101121100 has 108 divisors (see below), whose sum is σ = 362166705264. Its totient is φ = 23108826240.

The previous prime is 101101121081. The next prime is 101101121273. The reversal of 101101121100 is 1121101101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8017599 + ... + 8030198.

Almost surely, 2^101101121100 is an apocalyptic number.

101101121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101121100 is an abundant number, since it is smaller than the sum of its proper divisors (261065584164).

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

101101121100 is a wasteful number, since it uses less digits than its factorization.

101101121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16047824 (or 16047814 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101101121100 its reverse (1121101101), we get a palindrome (102222222201).

The spelling of 101101121100 in words is "one hundred one billion, one hundred one million, one hundred twenty-one thousand, one hundred".