1020110201000 has 192 divisors, whose sum is σ = 2630390518080. Its totient is φ = 367236000000.

The previous prime is 1020110200997. The next prime is 1020110201003. The reversal of 1020110201000 is 1020110201.

It is an interprime number because it is at equal distance from previous prime (1020110200997) and next prime (1020110201003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1020110201003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112206455 + ... + 112215545.

It is an arithmetic number, because the mean of its divisors is an integer number (13699950615).

Almost surely, 2^{1020110201000} is an apocalyptic number.

1020110201000 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 1020110201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315195259040).

1020110201000 is an abundant number, since it is smaller than the sum of its proper divisors (1610280317080).

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

1020110201000 is a wasteful number, since it uses less digits than its factorization.

1020110201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9325 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1020110201000 its reverse (1020110201), we get a palindrome (1021130311201).

1020110201000 divided by its reverse (1020110201) gives a cube (1000 = 10³).

It can be divided in two parts, 10201 and 10201000, that added together give a palindrome (10211201).

The spelling of 1020110201000 in words is "one trillion, twenty billion, one hundred ten million, two hundred one thousand".