10022211210100 has 18 divisors (see below), whose sum is σ = 21748198326134. Its totient is φ = 4008884484000.

The previous prime is 10022211210031. The next prime is 10022211210101. The reversal of 10022211210100 is 101211222001.

It can be written as a sum of positive squares in 3 ways, for example, as 1520718114276 + 8501493095824 = 1233174^2 + 2915732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022211210101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50111055951 + ... + 50111056150.

Almost surely, 2^{10022211210100} is an apocalyptic number.

10022211210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022211210100 is an abundant number, since it is smaller than the sum of its proper divisors (11725987116034).

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

10022211210100 is a wasteful number, since it uses less digits than its factorization.

10022211210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100222112115 (or 100222112108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10022211210100 its reverse (101211222001), we get a palindrome (10123422432101).

The spelling of 10022211210100 in words is "ten trillion, twenty-two billion, two hundred eleven million, two hundred ten thousand, one hundred".