102212011002100 has 36 divisors (see below), whose sum is σ = 227209821539148. Its totient is φ = 39887614048000.

The previous prime is 102212011002071. The next prime is 102212011002103. The reversal of 102212011002100 is 1200110212201.

It can be written as a sum of positive squares in 6 ways, for example, as 9664301692516 + 92547709309584 = 3108746^2 + 9620172^2 .

It is a super-2 number, since 2×102212011002100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212011002103) 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, 12464875291 + ... + 12464883490.

It is an arithmetic number, because the mean of its divisors is an integer number (6311383931643).

Almost surely, 2^{102212011002100} is an apocalyptic number.

102212011002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212011002100 is an abundant number, since it is smaller than the sum of its proper divisors (124997810537048).

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

102212011002100 is a wasteful number, since it uses less digits than its factorization.

102212011002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24929758836 (or 24929758829 counting only the distinct ones).

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

Adding to 102212011002100 its reverse (1200110212201), we get a palindrome (103412121214301).

The spelling of 102212011002100 in words is "one hundred two trillion, two hundred twelve billion, eleven million, two thousand, one hundred".