10121111012100 has 576 divisors, whose sum is σ = 34792643128320. Its totient is φ = 2243778969600.

The previous prime is 10121111012081. The next prime is 10121111012113. The reversal of 10121111012100 is 121011112101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 465563031 + ... + 465584769.

It is an arithmetic number, because the mean of its divisors is an integer number (60403894320).

Almost surely, 2^{10121111012100} is an apocalyptic number.

10121111012100 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 10121111012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17396321564160).

10121111012100 is an abundant number, since it is smaller than the sum of its proper divisors (24671532116220).

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

10121111012100 is a wasteful number, since it uses less digits than its factorization.

10121111012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22020 (or 22013 counting only the distinct ones).

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

Adding to 10121111012100 its reverse (121011112101), we get a palindrome (10242122124201).

The spelling of 10121111012100 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, twelve thousand, one hundred".