101100121200100 has 36 divisors (see below), whose sum is σ = 239331559643568. Its totient is φ = 36763680436000.

The previous prime is 101100121200049. The next prime is 101100121200161. The reversal of 101100121200100 is 1002121001101.

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 11 ways as a sum of consecutive naturals, for example, 45954599446 + ... + 45954601645.

It is an arithmetic number, because the mean of its divisors is an integer number (6648098878988).

Almost surely, 2^{101100121200100} is an apocalyptic number.

101100121200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100121200100 is an abundant number, since it is smaller than the sum of its proper divisors (138231438443468).

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

101100121200100 is a wasteful number, since it uses less digits than its factorization.

101100121200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91909201116 (or 91909201109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101100121200100 its reverse (1002121001101), we get a palindrome (102102242201201).

The spelling of 101100121200100 in words is "one hundred one trillion, one hundred billion, one hundred twenty-one million, two hundred thousand, one hundred".