121012110100 has 108 divisors (see below), whose sum is σ = 308325328416. Its totient is φ = 41101932480.

The previous prime is 121012110097. The next prime is 121012110101. The reversal of 121012110100 is 1011210121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121012110101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 408897 + ... + 639703.

It is an arithmetic number, because the mean of its divisors is an integer number (2854864152).

Almost surely, 2^121012110100 is an apocalyptic number.

121012110100 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 121012110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154162664208).

121012110100 is an abundant number, since it is smaller than the sum of its proper divisors (187313218316).

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

121012110100 is a wasteful number, since it uses less digits than its factorization.

121012110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230942 (or 230928 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 121012110100 its reverse (1011210121), we get a palindrome (122023320221).

It can be divided in two parts, 1210121 and 10100, that added together give a palindrome (1220221).

The spelling of 121012110100 in words is "one hundred twenty-one billion, twelve million, one hundred ten thousand, one hundred".