122010120100 has 216 divisors, whose sum is σ = 297660809600. Its totient is φ = 43366752000.

The previous prime is 122010120097. The next prime is 122010120103. The reversal of 122010120100 is 1021010221.

It is an interprime number because it is at equal distance from previous prime (122010120097) and next prime (122010120103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (122010120103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104192515 + ... + 104193685.

Almost surely, 2^122010120100 is an apocalyptic number.

122010120100 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 122010120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148830404800).

122010120100 is an abundant number, since it is smaller than the sum of its proper divisors (175650689500).

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

122010120100 is a wasteful number, since it uses less digits than its factorization.

122010120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122010120100 its reverse (1021010221), we get a palindrome (123031130321).

The spelling of 122010120100 in words is "one hundred twenty-two billion, ten million, one hundred twenty thousand, one hundred".