201002112100020 has 768 divisors, whose sum is σ = 744368695418880. Its totient is φ = 39260248473600.

The previous prime is 201002112099989. The next prime is 201002112100043. The reversal of 201002112100020 is 20001211200102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201002112099969 and 201002112100005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43497533310 + ... + 43497537930.

It is an arithmetic number, because the mean of its divisors is an integer number (969230072160).

Almost surely, 2^{201002112100020} is an apocalyptic number.

201002112100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201002112100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372184347709440).

201002112100020 is an abundant number, since it is smaller than the sum of its proper divisors (543366583318860).

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

201002112100020 is a wasteful number, since it uses less digits than its factorization.

201002112100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8424 (or 8422 counting only the distinct ones).

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

Adding to 201002112100020 its reverse (20001211200102), we get a palindrome (221003323300122).

The spelling of 201002112100020 in words is "two hundred one trillion, two billion, one hundred twelve million, one hundred thousand, twenty".