101002101120200 has 144 divisors (see below), whose sum is σ = 281981377036800. Its totient is φ = 33512217782400.

The previous prime is 101002101120197. The next prime is 101002101120307. The reversal of 101002101120200 is 2021101200101.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165927440 + ... + 166535039.

It is an arithmetic number, because the mean of its divisors is an integer number (1958204007200).

Almost surely, 2^{101002101120200} is an apocalyptic number.

101002101120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002101120200 is an abundant number, since it is smaller than the sum of its proper divisors (180979275916600).

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

101002101120200 is a wasteful number, since it uses less digits than its factorization.

101002101120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332462540 (or 332462524 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101002101120200 its reverse (2021101200101), we get a palindrome (103023202320301).

The spelling of 101002101120200 in words is "one hundred one trillion, two billion, one hundred one million, one hundred twenty thousand, two hundred".