10100021000100 has 144 divisors (see below), whose sum is σ = 29469630489600. Its totient is φ = 2670673075200.

The previous prime is 10100021000077. The next prime is 10100021000123. The reversal of 10100021000100 is 100012000101.

It is an interprime number because it is at equal distance from previous prime (10100021000077) and next prime (10100021000123).

It is a super-2 number, since 2×10100021000100² (a number of 27 digits) contains 22 as substring.

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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17653326 + ... + 18216474.

Almost surely, 2^{10100021000100} is an apocalyptic number.

10100021000100 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 10100021000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14734815244800).

10100021000100 is an abundant number, since it is smaller than the sum of its proper divisors (19369609489500).

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

10100021000100 is a wasteful number, since it uses less digits than its factorization.

10100021000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563670 (or 563663 counting only the distinct ones).

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

Adding to 10100021000100 its reverse (100012000101), we get a palindrome (10200033000201).

It can be divided in two parts, 1010002 and 1000100, that added together give a palindrome (2010102).

The spelling of 10100021000100 in words is "ten trillion, one hundred billion, twenty-one million, one hundred", and thus it is an aban number.