10121211010100 has 18 divisors (see below), whose sum is σ = 21963027892134. Its totient is φ = 4048484404000.

The previous prime is 10121211010093. The next prime is 10121211010133. The reversal of 10121211010100 is 101011212101.

10121211010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1499459026576 + 8621751983524 = 1224524^2 + 2936282^2 .

It is a super-3 number, since 3×10121211010100³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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, 50606054951 + ... + 50606055150.

Almost surely, 2^{10121211010100} is an apocalyptic number.

10121211010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121211010100 is an abundant number, since it is smaller than the sum of its proper divisors (11841816882034).

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

10121211010100 is a wasteful number, since it uses less digits than its factorization.

10121211010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101212110115 (or 101212110108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10121211010100 its reverse (101011212101), we get a palindrome (10222222222201).

The spelling of 10121211010100 in words is "ten trillion, one hundred twenty-one billion, two hundred eleven million, ten thousand, one hundred".