10211020120100 has 18 divisors (see below), whose sum is σ = 22157913660834. Its totient is φ = 4084408048000.

The previous prime is 10211020120087. The next prime is 10211020120109. The reversal of 10211020120100 is 102102011201.

It can be written as a sum of positive squares in 3 ways, for example, as 1159911768064 + 9051108352036 = 1076992^2 + 3008506^2 .

It is not an unprimeable number, because it can be changed into a prime (10211020120109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51055100501 + ... + 51055100700.

Almost surely, 2^{10211020120100} is an apocalyptic number.

10211020120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211020120100 is an abundant number, since it is smaller than the sum of its proper divisors (11946893540734).

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

10211020120100 is a wasteful number, since it uses less digits than its factorization.

10211020120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102110201215 (or 102110201208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10211020120100 its reverse (102102011201), we get a palindrome (10313122131301).

The spelling of 10211020120100 in words is "ten trillion, two hundred eleven billion, twenty million, one hundred twenty thousand, one hundred".