122021222002100 has 72 divisors (see below), whose sum is σ = 290029346855640. Its totient is φ = 44353352888320.

The previous prime is 122021222002079. The next prime is 122021222002201. The reversal of 122021222002100 is 1200222120221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 655052836 + 122020566949264 = 25594^2 + 11046292^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1237488449 + ... + 1237587048.

It is an arithmetic number, because the mean of its divisors is an integer number (4028185372995).

Almost surely, 2^{122021222002100} is an apocalyptic number.

122021222002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021222002100 is an abundant number, since it is smaller than the sum of its proper divisors (168008124853540).

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

122021222002100 is a wasteful number, since it uses less digits than its factorization.

122021222002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475075557 (or 2475075550 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122021222002100 its reverse (1200222120221), we get a palindrome (123221444122321).

The spelling of 122021222002100 in words is "one hundred twenty-two trillion, twenty-one billion, two hundred twenty-two million, two thousand, one hundred".