122221034002100 has 54 divisors (see below), whose sum is σ = 291522418403622. Its totient is φ = 44444012360000.

The previous prime is 122221034002087. The next prime is 122221034002121. The reversal of 122221034002100 is 1200430122221.

It can be written as a sum of positive squares in 3 ways, for example, as 23537750871184 + 98683283130916 = 4851572^2 + 9933946^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5050443851 + ... + 5050468050.

Almost surely, 2^{122221034002100} is an apocalyptic number.

122221034002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221034002100 is an abundant number, since it is smaller than the sum of its proper divisors (169301384401522).

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

122221034002100 is a wasteful number, since it uses less digits than its factorization.

122221034002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100911937 (or 10100911919 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122221034002100 its reverse (1200430122221), we get a palindrome (123421464124321).

The spelling of 122221034002100 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, thirty-four million, two thousand, one hundred".