1020101012000 has 288 divisors, whose sum is σ = 2928794319360. Its totient is φ = 348165619200.

The previous prime is 1020101011823. The next prime is 1020101012017. The reversal of 1020101012000 is 2101010201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43696331 + ... + 43719669.

It is an arithmetic number, because the mean of its divisors is an integer number (10169424720).

Almost surely, 2^{1020101012000} is an apocalyptic number.

1020101012000 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 1020101012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464397159680).

1020101012000 is an abundant number, since it is smaller than the sum of its proper divisors (1908693307360).

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

1020101012000 is a wasteful number, since it uses less digits than its factorization.

1020101012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23601 (or 23576 counting only the distinct ones).

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

Adding to 1020101012000 its reverse (2101010201), we get a palindrome (1022202022201).

The spelling of 1020101012000 in words is "one trillion, twenty billion, one hundred one million, twelve thousand".