201000212120100 has 144 divisors (see below), whose sum is σ = 595590739502976. Its totient is φ = 52321906560000.

The previous prime is 201000212120083. The next prime is 201000212120101. The reversal of 201000212120100 is 1021212000102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201000212120101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44564689 + ... + 48867288.

It is an arithmetic number, because the mean of its divisors is an integer number (4136046802104).

Almost surely, 2^{201000212120100} is an apocalyptic number.

201000212120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000212120100 is an abundant number, since it is smaller than the sum of its proper divisors (394590527382876).

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

201000212120100 is a wasteful number, since it uses less digits than its factorization.

201000212120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93432166 (or 93432159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201000212120100 its reverse (1021212000102), we get a palindrome (202021424120202).

The spelling of 201000212120100 in words is "two hundred one trillion, two hundred twelve million, one hundred twenty thousand, one hundred".