1020110021100 has 216 divisors, whose sum is σ = 3251561105520. Its totient is φ = 267432768000.

The previous prime is 1020110021089. The next prime is 1020110021111. The reversal of 1020110021100 is 11200110201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1020110021089) and next prime (1020110021111).

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

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, 150477511 + ... + 150484289.

Almost surely, 2^{1020110021100} is an apocalyptic number.

1020110021100 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 1020110021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625780552760).

1020110021100 is an abundant number, since it is smaller than the sum of its proper divisors (2231451084420).

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

1020110021100 is a wasteful number, since it uses less digits than its factorization.

1020110021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9601 (or 9591 counting only the distinct ones).

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

Adding to 1020110021100 its reverse (11200110201), we get a palindrome (1031310131301).

The spelling of 1020110021100 in words is "one trillion, twenty billion, one hundred ten million, twenty-one thousand, one hundred".