10020012102100 has 432 divisors, whose sum is σ = 29739057828480. Its totient is φ = 2880575308800.

The previous prime is 10020012102083. The next prime is 10020012102103. The reversal of 10020012102100 is 120121002001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020012102103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1001295297 + ... + 1001305303.

It is an arithmetic number, because the mean of its divisors is an integer number (68840411640).

Almost surely, 2^{10020012102100} is an apocalyptic number.

10020012102100 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 10020012102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869528914240).

10020012102100 is an abundant number, since it is smaller than the sum of its proper divisors (19719045726380).

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

10020012102100 is a wasteful number, since it uses less digits than its factorization.

10020012102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11488 (or 11474 counting only the distinct ones).

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

Adding to 10020012102100 its reverse (120121002001), we get a palindrome (10140133104101).

The spelling of 10020012102100 in words is "ten trillion, twenty billion, twelve million, one hundred two thousand, one hundred".