10121102020100 has 18 divisors (see below), whose sum is σ = 21962791383834. Its totient is φ = 4048440808000.

The previous prime is 10121102020087. The next prime is 10121102020129. The reversal of 10121102020100 is 102020112101.

It can be written as a sum of positive squares in 3 ways, for example, as 943680130624 + 9177421889476 = 971432^2 + 3029426^2 .

It is a super-2 number, since 2×10121102020100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50605510001 + ... + 50605510200.

Almost surely, 2^{10121102020100} is an apocalyptic number.

10121102020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121102020100 is an abundant number, since it is smaller than the sum of its proper divisors (11841689363734).

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

10121102020100 is a wasteful number, since it uses less digits than its factorization.

10121102020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101211020215 (or 101211020208 counting only the distinct ones).

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

Adding to 10121102020100 its reverse (102020112101), we get a palindrome (10223122132201).

The spelling of 10121102020100 in words is "ten trillion, one hundred twenty-one billion, one hundred two million, twenty thousand, one hundred".