1020212122100 has 18 divisors (see below), whose sum is σ = 2213860305174. Its totient is φ = 408084848800.

The previous prime is 1020212122099. The next prime is 1020212122103. The reversal of 1020212122100 is 12212120201.

1020212122100 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 5715964816 + 1014496157284 = 75604^2 + 1007222^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020212122103) 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, 5101060511 + ... + 5101060710.

Almost surely, 2^{1020212122100} is an apocalyptic number.

1020212122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020212122100 is an abundant number, since it is smaller than the sum of its proper divisors (1193648183074).

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

1020212122100 is a wasteful number, since it uses less digits than its factorization.

1020212122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202121235 (or 10202121228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020212122100 its reverse (12212120201), we get a palindrome (1032424242301).

The spelling of 1020212122100 in words is "one trillion, twenty billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".