1022011212100 has 18 divisors (see below), whose sum is σ = 2217764330474. Its totient is φ = 408804484800.

The previous prime is 1022011212097. The next prime is 1022011212107. The reversal of 1022011212100 is 12121102201.

1022011212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 427993344 + 1021583218756 = 20688^2 + 1010734^2 .

It is a super-2 number, since 2×1022011212100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022011212107) 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, 5110055961 + ... + 5110056160.

Almost surely, 2^{1022011212100} is an apocalyptic number.

1022011212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022011212100 is an abundant number, since it is smaller than the sum of its proper divisors (1195753118374).

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

1022011212100 is a wasteful number, since it uses less digits than its factorization.

1022011212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10220112135 (or 10220112128 counting only the distinct ones).

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

Adding to 1022011212100 its reverse (12121102201), we get a palindrome (1034132314301).

The spelling of 1022011212100 in words is "one trillion, twenty-two billion, eleven million, two hundred twelve thousand, one hundred".