1021001102100 has 216 divisors, whose sum is σ = 3661505801408. Its totient is φ = 233113075200.

The previous prime is 1021001102089. The next prime is 1021001102159. The reversal of 1021001102100 is 12011001201.

It is a happy number.

1021001102100 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 Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5624760 + ... + 5803440.

Almost surely, 2^{1021001102100} is an apocalyptic number.

1021001102100 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 1021001102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830752900704).

1021001102100 is an abundant number, since it is smaller than the sum of its proper divisors (2640504699308).

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

1021001102100 is a wasteful number, since it uses less digits than its factorization.

1021001102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179615 (or 179605 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1021001102100 its reverse (12011001201), we get a palindrome (1033012103301).

The spelling of 1021001102100 in words is "one trillion, twenty-one billion, one million, one hundred two thousand, one hundred".