100201212212020 has 48 divisors (see below), whose sum is σ = 212555687753808. Its totient is φ = 39674357913600.

The previous prime is 100201212212009. The next prime is 100201212212063. The reversal of 100201212212020 is 20212212102001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1060677531664 + 99140534680356 = 1029892^2 + 9956934^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100201212211985 and 100201212212003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2827042 + ... + 14435878.

It is an arithmetic number, because the mean of its divisors is an integer number (4428243494871).

Almost surely, 2^{100201212212020} is an apocalyptic number.

100201212212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201212212020 is an abundant number, since it is smaller than the sum of its proper divisors (112354475541788).

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

100201212212020 is a wasteful number, since it uses less digits than its factorization.

100201212212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11613220 (or 11613218 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100201212212020 its reverse (20212212102001), we get a palindrome (120413424314021).

The spelling of 100201212212020 in words is "one hundred trillion, two hundred one billion, two hundred twelve million, two hundred twelve thousand, twenty".