201121001112100 has 72 divisors (see below), whose sum is σ = 471111622551360. Its totient is φ = 74297173399680.

The previous prime is 201121001112011. The next prime is 201121001112259. The reversal of 201121001112100 is 1211100121102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1507586982 + ... + 1507720381.

It is an arithmetic number, because the mean of its divisors is an integer number (6543216979880).

Almost surely, 2^{201121001112100} is an apocalyptic number.

201121001112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121001112100 is an abundant number, since it is smaller than the sum of its proper divisors (269990621439260).

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

201121001112100 is a wasteful number, since it uses less digits than its factorization.

201121001112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015307429 (or 3015307422 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 201121001112100 its reverse (1211100121102), we get a palindrome (202332101233202).

The spelling of 201121001112100 in words is "two hundred one trillion, one hundred twenty-one billion, one million, one hundred twelve thousand, one hundred".