122221100020100 has 144 divisors (see below), whose sum is σ = 271495769825280. Its totient is φ = 47747285913600.

The previous prime is 122221100020093. The next prime is 122221100020139. The reversal of 122221100020100 is 1020001122221.

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, 337931360 + ... + 338292840.

Almost surely, 2^{122221100020100} is an apocalyptic number.

122221100020100 is a gapful number since it is divisible by the number (10) 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 122221100020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135747884912640).

122221100020100 is an abundant number, since it is smaller than the sum of its proper divisors (149274669805180).

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

122221100020100 is a wasteful number, since it uses less digits than its factorization.

122221100020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362038 (or 362031 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122221100020100 its reverse (1020001122221), we get a palindrome (123241101142321).

The spelling of 122221100020100 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred million, twenty thousand, one hundred".