101021122002100 has 144 divisors (see below), whose sum is σ = 236643334326000. Its totient is φ = 37289765560320.

The previous prime is 101021122002071. The next prime is 101021122002103. The reversal of 101021122002100 is 1200221120101.

It can be written as a sum of positive squares in 24 ways, for example, as 42810875172004 + 58210246830096 = 6543002^2 + 7629564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021122002103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139202986 + ... + 139926814.

It is an arithmetic number, because the mean of its divisors is an integer number (1643356488375).

Almost surely, 2^{101021122002100} is an apocalyptic number.

101021122002100 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 101021122002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118321667163000).

101021122002100 is an abundant number, since it is smaller than the sum of its proper divisors (135622212323900).

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

101021122002100 is a wasteful number, since it uses less digits than its factorization.

101021122002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725462 (or 725455 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101021122002100 its reverse (1200221120101), we get a palindrome (102221343122201).

The spelling of 101021122002100 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, two thousand, one hundred".