1021012211100 has 432 divisors, whose sum is σ = 3501196846560. Its totient is φ = 228995020800.

The previous prime is 1021012211077. The next prime is 1021012211113. The reversal of 1021012211100 is 11122101201.

It is a super-3 number, since 3×1021012211100³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 456419182 + ... + 456421418.

It is an arithmetic number, because the mean of its divisors is an integer number (8104622330).

Almost surely, 2^{1021012211100} is an apocalyptic number.

1021012211100 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 1021012211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750598423280).

1021012211100 is an abundant number, since it is smaller than the sum of its proper divisors (2480184635460).

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

1021012211100 is a wasteful number, since it uses less digits than its factorization.

1021012211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1021012211100 its reverse (11122101201), we get a palindrome (1032134312301).

The spelling of 1021012211100 in words is "one trillion, twenty-one billion, twelve million, two hundred eleven thousand, one hundred".