122121010002100 has 18 divisors (see below), whose sum is σ = 265002591704774. Its totient is φ = 48848404000800.

The previous prime is 122121010002091. The next prime is 122121010002127. The reversal of 122121010002100 is 1200010121221.

It can be written as a sum of positive squares in 3 ways, for example, as 12452612938276 + 109668397063824 = 3528826^2 + 10472268^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610605049911 + ... + 610605050110.

Almost surely, 2^{122121010002100} is an apocalyptic number.

122121010002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121010002100 is an abundant number, since it is smaller than the sum of its proper divisors (142881581702674).

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

122121010002100 is a wasteful number, since it uses less digits than its factorization.

122121010002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221210100035 (or 1221210100028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122121010002100 its reverse (1200010121221), we get a palindrome (123321020123321).

The spelling of 122121010002100 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, ten million, two thousand, one hundred".