1021100430000 has 400 divisors, whose sum is σ = 3777690752000. Its totient is φ = 232740864000.

The previous prime is 1021100429927. The next prime is 1021100430037. The reversal of 1021100430000 is 340011201.

It is a happy number.

1021100430000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77063376 + ... + 77076624.

It is an arithmetic number, because the mean of its divisors is an integer number (9444226880).

Almost surely, 2^{1021100430000} is an apocalyptic number.

1021100430000 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 1021100430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888845376000).

1021100430000 is an abundant number, since it is smaller than the sum of its proper divisors (2756590322000).

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

1021100430000 is a wasteful number, since it uses less digits than its factorization.

1021100430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13654 (or 13633 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1021100430000 its reverse (340011201), we get a palindrome (1021440441201).

The spelling of 1021100430000 in words is "one trillion, twenty-one billion, one hundred million, four hundred thirty thousand".