201022122002100 has 144 divisors (see below), whose sum is σ = 664719601139328. Its totient is φ = 45947467676160.

The previous prime is 201022122002087. The next prime is 201022122002147. The reversal of 201022122002100 is 1200221220102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201022122002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247472214 + ... + 248283186.

Almost surely, 2^{201022122002100} is an apocalyptic number.

201022122002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022122002100 is an abundant number, since it is smaller than the sum of its proper divisors (463697479137228).

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

201022122002100 is a wasteful number, since it uses less digits than its factorization.

201022122002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929034 (or 929027 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201022122002100 its reverse (1200221220102), we get a palindrome (202222343222202).

The spelling of 201022122002100 in words is "two hundred one trillion, twenty-two billion, one hundred twenty-two million, two thousand, one hundred".