1023102201000 has 256 divisors, whose sum is σ = 3487385041920. Its totient is φ = 247660320000.

The previous prime is 1023102200977. The next prime is 1023102201001. The reversal of 1023102201000 is 1022013201.

1023102201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1023102201000² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1023102201001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22780567 + ... + 22825433.

It is an arithmetic number, because the mean of its divisors is an integer number (13622597820).

Almost surely, 2^{1023102201000} is an apocalyptic number.

1023102201000 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 1023102201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743692520960).

1023102201000 is an abundant number, since it is smaller than the sum of its proper divisors (2464282840920).

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

1023102201000 is a wasteful number, since it uses less digits than its factorization.

1023102201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45593 (or 45579 counting only the distinct ones).

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

Adding to 1023102201000 its reverse (1022013201), we get a palindrome (1024124214201).

The spelling of 1023102201000 in words is "one trillion, twenty-three billion, one hundred two million, two hundred one thousand".