100102121211100 has 18 divisors (see below), whose sum is σ = 217221603028304. Its totient is φ = 40040848484400.

The previous prime is 100102121211013. The next prime is 100102121211107. The reversal of 100102121211100 is 1112121201001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102121211107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500510605956 + ... + 500510606155.

Almost surely, 2^{100102121211100} is an apocalyptic number.

100102121211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102121211100 is an abundant number, since it is smaller than the sum of its proper divisors (117119481817204).

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

100102121211100 is a wasteful number, since it uses less digits than its factorization.

100102121211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001021212125 (or 1001021212118 counting only the distinct ones).

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

Adding to 100102121211100 its reverse (1112121201001), we get a palindrome (101214242412101).

The spelling of 100102121211100 in words is "one hundred trillion, one hundred two billion, one hundred twenty-one million, two hundred eleven thousand, one hundred".