10122211121100 has 288 divisors, whose sum is σ = 33120736803840. Its totient is φ = 2368106357760.

The previous prime is 10122211121083. The next prime is 10122211121101. The reversal of 10122211121100 is 112111222101.

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 10122211121100.

It is not an unprimeable number, because it can be changed into a prime (10122211121101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13723521 + ... + 14442279.

Almost surely, 2^{10122211121100} is an apocalyptic number.

10122211121100 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 10122211121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16560368401920).

10122211121100 is an abundant number, since it is smaller than the sum of its proper divisors (22998525682740).

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

10122211121100 is a wasteful number, since it uses less digits than its factorization.

10122211121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718969 (or 718962 counting only the distinct ones).

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

Adding to 10122211121100 its reverse (112111222101), we get a palindrome (10234322343201).

The spelling of 10122211121100 in words is "ten trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred".