101000121112100 has 144 divisors (see below), whose sum is σ = 257919069789696. Its totient is φ = 33608964096000.

The previous prime is 101000121112097. The next prime is 101000121112123. The reversal of 101000121112100 is 1211121000101.

101000121112100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3577916 + ... + 14656115.

Almost surely, 2^{101000121112100} is an apocalyptic number.

101000121112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000121112100 is an abundant number, since it is smaller than the sum of its proper divisors (156918948677596).

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

101000121112100 is a wasteful number, since it uses less digits than its factorization.

101000121112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18234286 (or 18234279 counting only the distinct ones).

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

Adding to 101000121112100 its reverse (1211121000101), we get a palindrome (102211242112201).

The spelling of 101000121112100 in words is "one hundred one trillion, one hundred twenty-one million, one hundred twelve thousand, one hundred".