100210020010100 has 144 divisors (see below), whose sum is σ = 291968550900096. Its totient is φ = 28831654080000.

The previous prime is 100210020010099. The next prime is 100210020010109. The reversal of 100210020010100 is 1010020012001.

It is a super-2 number, since 2×100210020010100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210020010109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500449451 + ... + 500649650.

Almost surely, 2^{100210020010100} is an apocalyptic number.

100210020010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210020010100 is an abundant number, since it is smaller than the sum of its proper divisors (191758530889996).

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

100210020010100 is a wasteful number, since it uses less digits than its factorization.

100210020010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001099146 (or 1001099139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100210020010100 its reverse (1010020012001), we get a palindrome (101220040022101).

The spelling of 100210020010100 in words is "one hundred trillion, two hundred ten billion, twenty million, ten thousand, one hundred".