1021012221100 has 288 divisors, whose sum is σ = 2456842752000. Its totient is φ = 366998016000.

The previous prime is 1021012221071. The next prime is 1021012221107. The reversal of 1021012221100 is 11222101201.

1021012221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1021012221107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 681128151 + ... + 681129649.

It is an arithmetic number, because the mean of its divisors is an integer number (8530704000).

Almost surely, 2^{1021012221100} is an apocalyptic number.

1021012221100 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 1021012221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228421376000).

1021012221100 is an abundant number, since it is smaller than the sum of its proper divisors (1435830530900).

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

1021012221100 is a wasteful number, since it uses less digits than its factorization.

1021012221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1834 counting only the distinct ones).

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

Adding to 1021012221100 its reverse (11222101201), we get a palindrome (1032234322301).

The spelling of 1021012221100 in words is "one trillion, twenty-one billion, twelve million, two hundred twenty-one thousand, one hundred".