1023100020000 has 180 divisors, whose sum is σ = 3635637715710. Its totient is φ = 272826624000.

The previous prime is 1023100019993. The next prime is 1023100020001. The reversal of 1023100020000 is 200013201.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 165749951376 + 857350068624 = 407124^2 + 925932^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (1023100020001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2661945 + ... + 3021944.

Almost surely, 2^{1023100020000} is an apocalyptic number.

1023100020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023100020000 is an abundant number, since it is smaller than the sum of its proper divisors (2612537695710).

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

1023100020000 is an equidigital number, since it uses as much as digits as its factorization.

1023100020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683925 (or 5683899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1023100020000 its reverse (200013201), we get a palindrome (1023300033201).

The spelling of 1023100020000 in words is "one trillion, twenty-three billion, one hundred million, twenty thousand".