10102012020100 has 288 divisors, whose sum is σ = 29439387758592. Its totient is φ = 2905830720000.

The previous prime is 10102012020053. The next prime is 10102012020103. The reversal of 10102012020100 is 102021020101.

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 (10102012020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 631723105 + ... + 631739095.

It is an arithmetic number, because the mean of its divisors is an integer number (102220096384).

Almost surely, 2^{10102012020100} is an apocalyptic number.

10102012020100 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 10102012020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719693879296).

10102012020100 is an abundant number, since it is smaller than the sum of its proper divisors (19337375738492).

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

10102012020100 is a wasteful number, since it uses less digits than its factorization.

10102012020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22347 (or 22340 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102012020100 its reverse (102021020101), we get a palindrome (10204033040201).

Subtracting from 10102012020100 its reverse (102021020101), we obtain a palindrome (9999990999999).

It can be divided in two parts, 101020120 and 20100, that added together give a triangular number (101040220 = T₁₄₂₁₅).

The spelling of 10102012020100 in words is "ten trillion, one hundred two billion, twelve million, twenty thousand, one hundred".