10111221122100 has 288 divisors, whose sum is σ = 34626759745536. Its totient is φ = 2230102963200.

The previous prime is 10111221122081. The next prime is 10111221122143. The reversal of 10111221122100 is 122112211101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10111221122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6286264 + ... + 7729136.

It is an arithmetic number, because the mean of its divisors is an integer number (120231804672).

Almost surely, 2^{10111221122100} is an apocalyptic number.

10111221122100 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 10111221122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17313379872768).

10111221122100 is an abundant number, since it is smaller than the sum of its proper divisors (24515538623436).

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

10111221122100 is a wasteful number, since it uses less digits than its factorization.

10111221122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443015 (or 1443008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10111221122100 its reverse (122112211101), we get a palindrome (10233333333201).

The spelling of 10111221122100 in words is "ten trillion, one hundred eleven billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred".