10101121112100 has 144 divisors (see below), whose sum is σ = 30040831874816. Its totient is φ = 2618645760000.

The previous prime is 10101121112083. The next prime is 10101121112107. The reversal of 10101121112100 is 121112110101.

10101121112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10101121112107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12952245 + ... + 13709955.

Almost surely, 2^{10101121112100} is an apocalyptic number.

10101121112100 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 10101121112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020415937408).

10101121112100 is an abundant number, since it is smaller than the sum of its proper divisors (19939710762716).

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

10101121112100 is a wasteful number, since it uses less digits than its factorization.

10101121112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758966 (or 758959 counting only the distinct ones).

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

Adding to 10101121112100 its reverse (121112110101), we get a palindrome (10222233222201).

It can be divided in two parts, 1010112 and 1112100, that added together give a palindrome (2122212).

The spelling of 10101121112100 in words is "ten trillion, one hundred one billion, one hundred twenty-one million, one hundred twelve thousand, one hundred".