1022110100100 has 216 divisors, whose sum is σ = 3291709261568. Its totient is φ = 265085395200.

The previous prime is 1022110100071. The next prime is 1022110100131. The reversal of 1022110100100 is 10010112201.

It is a happy number.

1022110100100 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 (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106122285 + ... + 106131915.

Almost surely, 2^{1022110100100} is an apocalyptic number.

1022110100100 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 1022110100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645854630784).

1022110100100 is an abundant number, since it is smaller than the sum of its proper divisors (2269599161468).

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

1022110100100 is a wasteful number, since it uses less digits than its factorization.

1022110100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12875 (or 12865 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1022110100100 its reverse (10010112201), we get a palindrome (1032120212301).

The spelling of 1022110100100 in words is "one trillion, twenty-two billion, one hundred ten million, one hundred thousand, one hundred".