10200010010100 has 36 divisors (see below), whose sum is σ = 29512028963424. Its totient is φ = 2720002669280.

The previous prime is 10200010010053. The next prime is 10200010010167. The reversal of 10200010010100 is 101001000201.

It is a super-3 number, since 3×10200010010100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17000016384 + ... + 17000016983.

Almost surely, 2^{10200010010100} is an apocalyptic number.

10200010010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200010010100 is an abundant number, since it is smaller than the sum of its proper divisors (19312018953324).

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

10200010010100 is a wasteful number, since it uses less digits than its factorization.

10200010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34000033384 (or 34000033377 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10200010010100 its reverse (101001000201), we get a palindrome (10301011010301).

The spelling of 10200010010100 in words is "ten trillion, two hundred billion, ten million, ten thousand, one hundred".