1020211012000 has 48 divisors (see below), whose sum is σ = 2506658466312. Its totient is φ = 408084403200.

The previous prime is 1020211011959. The next prime is 1020211012021. The reversal of 1020211012000 is 2101120201.

It can be written as a sum of positive squares in 4 ways, for example, as 552043056016 + 468167955984 = 742996^2 + 684228^2 .

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 7 ways as a sum of consecutive naturals, for example, 127522377 + ... + 127530376.

Almost surely, 2^{1020211012000} is an apocalyptic number.

1020211012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020211012000 is an abundant number, since it is smaller than the sum of its proper divisors (1486447454312).

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

1020211012000 is an equidigital number, since it uses as much as digits as its factorization.

1020211012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255052778 (or 255052760 counting only the distinct ones).

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

Adding to 1020211012000 its reverse (2101120201), we get a palindrome (1022312132201).

The spelling of 1020211012000 in words is "one trillion, twenty billion, two hundred eleven million, twelve thousand".