10121121110100 has 576 divisors, whose sum is σ = 41630927450112. Its totient is φ = 1827118080000.

The previous prime is 10121121110057. The next prime is 10121121110101. The reversal of 10121121110100 is 101112112101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121121110101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4113825 + ... + 6096375.

It is an arithmetic number, because the mean of its divisors is an integer number (72275915712).

Almost surely, 2^{10121121110100} is an apocalyptic number.

10121121110100 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 10121121110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20815463725056).

10121121110100 is an abundant number, since it is smaller than the sum of its proper divisors (31509806340012).

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

10121121110100 is a wasteful number, since it uses less digits than its factorization.

10121121110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982616 (or 1982609 counting only the distinct ones).

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

Adding to 10121121110100 its reverse (101112112101), we get a palindrome (10222233222201).

It can be divided in two parts, 1012112 and 1110100, that added together give a palindrome (2122212).

The spelling of 10121121110100 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred ten thousand, one hundred".