10101012012100 has 36 divisors (see below), whose sum is σ = 21920801198548. Its totient is φ = 4040108928000.

The previous prime is 10101012012067. The next prime is 10101012012101. The reversal of 10101012012100 is 121021010101.

It can be written as a sum of positive squares in 6 ways, for example, as 509404803076 + 9591607209024 = 713726^2 + 3097032^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10101012012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2323521 + ... + 5059720.

Almost surely, 2^{10101012012100} is an apocalyptic number.

10101012012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101012012100 is an abundant number, since it is smaller than the sum of its proper divisors (11819789186448).

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

10101012012100 is a wasteful number, since it uses less digits than its factorization.

10101012012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7396936 (or 7396929 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10101012012100 its reverse (121021010101), we get a palindrome (10222033022201).

The spelling of 10101012012100 in words is "ten trillion, one hundred one billion, twelve million, twelve thousand, one hundred".