1021211101000 has 64 divisors (see below), whose sum is σ = 2413293957360. Its totient is φ = 404440000000.

The previous prime is 1021211100983. The next prime is 1021211101003. The reversal of 1021211101000 is 1011121201.

It can be written as a sum of positive squares in 8 ways, for example, as 542670902244 + 478540198756 = 736662^2 + 691766^2 .

It is a super-2 number, since 2×1021211101000² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1021211101003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4954501 + ... + 5156500.

Almost surely, 2^{1021211101000} is an apocalyptic number.

1021211101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021211101000 is an abundant number, since it is smaller than the sum of its proper divisors (1392082856360).

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

1021211101000 is a wasteful number, since it uses less digits than its factorization.

1021211101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111123 (or 10111109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1021211101000 its reverse (1011121201), we get a palindrome (1022222222201).

It can be divided in two parts, 1021211 and 101000, that added together give a palindrome (1122211).

The spelling of 1021211101000 in words is "one trillion, twenty-one billion, two hundred eleven million, one hundred one thousand".