1021211122100 has 36 divisors (see below), whose sum is σ = 2386491840684. Its totient is φ = 377062567680.

The previous prime is 1021211122073. The next prime is 1021211122117. The reversal of 1021211122100 is 12211121201.

It can be written as a sum of positive squares in 6 ways, for example, as 325568383396 + 695642738704 = 570586^2 + 834052^2 .

It is a super-2 number, since 2×1021211122100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392772209 + ... + 392774808.

It is an arithmetic number, because the mean of its divisors is an integer number (66291440019).

Almost surely, 2^{1021211122100} is an apocalyptic number.

1021211122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021211122100 is an abundant number, since it is smaller than the sum of its proper divisors (1365280718584).

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

1021211122100 is a wasteful number, since it uses less digits than its factorization.

1021211122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785547044 (or 785547037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1021211122100 its reverse (12211121201), we get a palindrome (1033422243301).

It can be divided in two parts, 102121 and 1122100, that added together give a palindrome (1224221).

The spelling of 1021211122100 in words is "one trillion, twenty-one billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".