102121212011100 has 144 divisors (see below), whose sum is σ = 313326083347200. Its totient is φ = 25591528094720.

The previous prime is 102121212011087. The next prime is 102121212011101. The reversal of 102121212011100 is 1110212121201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102121212011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121212011101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11831640 + ... + 18553439.

It is an arithmetic number, because the mean of its divisors is an integer number (2175875578800).

Almost surely, 2^{102121212011100} is an apocalyptic number.

102121212011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121212011100 is an abundant number, since it is smaller than the sum of its proper divisors (211204871336100).

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

102121212011100 is a wasteful number, since it uses less digits than its factorization.

102121212011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30385772 (or 30385765 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102121212011100 its reverse (1110212121201), we get a palindrome (103231424132301).

The spelling of 102121212011100 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twelve million, eleven thousand, one hundred".