201020210120100 has 288 divisors, whose sum is σ = 692942560837632. Its totient is φ = 44025048000000.

The previous prime is 201020210120089. The next prime is 201020210120153. The reversal of 201020210120100 is 1021012020102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8711376 + ... + 21861575.

It is an arithmetic number, because the mean of its divisors is an integer number (2406050558464).

Almost surely, 2^{201020210120100} is an apocalyptic number.

201020210120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020210120100 is an abundant number, since it is smaller than the sum of its proper divisors (491922350717532).

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

201020210120100 is a wasteful number, since it uses less digits than its factorization.

201020210120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30573107 (or 30573100 counting only the distinct ones).

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

Adding to 201020210120100 its reverse (1021012020102), we get a palindrome (202041222140202).

The spelling of 201020210120100 in words is "two hundred one trillion, twenty billion, two hundred ten million, one hundred twenty thousand, one hundred".