121105100531100 has 432 divisors, whose sum is σ = 409298213237760. Its totient is φ = 27566400960000.

The previous prime is 121105100531087. The next prime is 121105100531131. The reversal of 121105100531100 is 1135001501121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3963237022 + ... + 3963267578.

It is an arithmetic number, because the mean of its divisors is an integer number (947449567680).

Almost surely, 2^{121105100531100} is an apocalyptic number.

121105100531100 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 121105100531100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204649106618880).

121105100531100 is an abundant number, since it is smaller than the sum of its proper divisors (288193112706660).

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

121105100531100 is a wasteful number, since it uses less digits than its factorization.

121105100531100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31698 (or 31684 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 121105100531100 in words is "one hundred twenty-one trillion, one hundred five billion, one hundred million, five hundred thirty-one thousand, one hundred".