101120001121100 has 108 divisors (see below), whose sum is σ = 239914947491856. Its totient is φ = 36974123746560.

The previous prime is 101120001121091. The next prime is 101120001121121. The reversal of 101120001121100 is 1121100021101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27305087 + ... + 30786486.

Almost surely, 2^{101120001121100} is an apocalyptic number.

101120001121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120001121100 is an abundant number, since it is smaller than the sum of its proper divisors (138794946370756).

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

101120001121100 is a wasteful number, since it uses less digits than its factorization.

101120001121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58091716 (or 58091696 counting only the distinct ones).

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

Adding to 101120001121100 its reverse (1121100021101), we get a palindrome (102241101142201).

The spelling of 101120001121100 in words is "one hundred one trillion, one hundred twenty billion, one million, one hundred twenty-one thousand, one hundred".