102121011210100 has 36 divisors (see below), whose sum is σ = 221603177838700. Its totient is φ = 40848296924160.

The previous prime is 102121011210067. The next prime is 102121011210107. The reversal of 102121011210100 is 1012110121201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2226064 + 102121008984036 = 1492^2 + 10105494^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121011210107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44651236 + ... + 46882564.

Almost surely, 2^{102121011210100} is an apocalyptic number.

102121011210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121011210100 is an abundant number, since it is smaller than the sum of its proper divisors (119482166628600).

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

102121011210100 is a wasteful number, since it uses less digits than its factorization.

102121011210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689012 (or 2689005 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102121011210100 its reverse (1012110121201), we get a palindrome (103133121331301).

The spelling of 102121011210100 in words is "one hundred two trillion, one hundred twenty-one billion, eleven million, two hundred ten thousand, one hundred".