1021012001200 has 120 divisors (see below), whose sum is σ = 2505860239680. Its totient is φ = 399605606400.

The previous prime is 1021012001183. The next prime is 1021012001221. The reversal of 1021012001200 is 21002101201.

1021012001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118980910 + ... + 118989490.

It is an arithmetic number, because the mean of its divisors is an integer number (20882168664).

Almost surely, 2^{1021012001200} is an apocalyptic number.

1021012001200 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 1021012001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252930119840).

1021012001200 is an abundant number, since it is smaller than the sum of its proper divisors (1484848238480).

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

1021012001200 is a wasteful number, since it uses less digits than its factorization.

1021012001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14975 (or 14964 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1021012001200 its reverse (21002101201), we get a palindrome (1042014102401).

The spelling of 1021012001200 in words is "one trillion, twenty-one billion, twelve million, one thousand, two hundred".