1020300111000 has 512 divisors, whose sum is σ = 3629104128000. Its totient is φ = 265052736000.

The previous prime is 1020300110987. The next prime is 1020300111031. The reversal of 1020300111000 is 1110030201.

It is a super-2 number, since 2×1020300111000² (a number of 25 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 290599245 + ... + 290602755.

It is an arithmetic number, because the mean of its divisors is an integer number (7088094000).

Almost surely, 2^{1020300111000} is an apocalyptic number.

1020300111000 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 1020300111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814552064000).

1020300111000 is an abundant number, since it is smaller than the sum of its proper divisors (2608804017000).

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

1020300111000 is a wasteful number, since it uses less digits than its factorization.

1020300111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1020300111000 its reverse (1110030201), we get a palindrome (1021410141201).

The spelling of 1020300111000 in words is "one trillion, twenty billion, three hundred million, one hundred eleven thousand".