102001121111100 has 144 divisors (see below), whose sum is σ = 296362350727520. Its totient is φ = 27086316364800.

The previous prime is 102001121111093. The next prime is 102001121111129. The reversal of 102001121111100 is 1111121100201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73276386 + ... + 74655414.

Almost surely, 2^{102001121111100} is an apocalyptic number.

102001121111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001121111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148181175363760).

102001121111100 is an abundant number, since it is smaller than the sum of its proper divisors (194361229616420).

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

102001121111100 is a wasteful number, since it uses less digits than its factorization.

102001121111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380080 (or 1380073 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102001121111100 its reverse (1111121100201), we get a palindrome (103112242211301).

The spelling of 102001121111100 in words is "one hundred two trillion, one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred".