10021111101000 has 160 divisors (see below), whose sum is σ = 35029350865080. Its totient is φ = 2672296272000.

The previous prime is 10021111100981. The next prime is 10021111101017. The reversal of 10021111101000 is 10111112001.

It can be written as a sum of positive squares in 4 ways, for example, as 4528903246884 + 5492207854116 = 2128122^2 + 2343546^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61777711 + ... + 61939710.

Almost surely, 2^{10021111101000} is an apocalyptic number.

10021111101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021111101000 is an abundant number, since it is smaller than the sum of its proper divisors (25008239764080).

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

10021111101000 is a wasteful number, since it uses less digits than its factorization.

10021111101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123717454 (or 123717431 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10021111101000 its reverse (10111112001), we get a palindrome (10031222213001).

The spelling of 10021111101000 in words is "ten trillion, twenty-one billion, one hundred eleven million, one hundred one thousand".