100021101210100 has 72 divisors (see below), whose sum is σ = 250609571696960. Its totient is φ = 33939413406720.

The previous prime is 100021101210091. The next prime is 100021101210109. The reversal of 100021101210100 is 1012101120001.

It is an interprime number because it is at equal distance from previous prime (100021101210091) and next prime (100021101210109).

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 (100021101210109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736464510 + ... + 736600309.

Almost surely, 2^{100021101210100} is an apocalyptic number.

100021101210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021101210100 is an abundant number, since it is smaller than the sum of its proper divisors (150588470486860).

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

100021101210100 is a wasteful number, since it uses less digits than its factorization.

100021101210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473064937 (or 1473064930 counting only the distinct ones).

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

Adding to 100021101210100 its reverse (1012101120001), we get a palindrome (101033202330101).

Subtracting from 100021101210100 its reverse (1012101120001), we obtain a palindrome (99009000090099).

The spelling of 100021101210100 in words is "one hundred trillion, twenty-one billion, one hundred one million, two hundred ten thousand, one hundred".