100210210201020 has 96 divisors (see below), whose sum is σ = 283557795494400. Its totient is φ = 26440297977600.

The previous prime is 100210210200979. The next prime is 100210210201043. The reversal of 100210210201020 is 20102012012001.

It is a super-2 number, since 2×100210210201020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100210210200987 and 100210210201005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3411681 + ... + 14562279.

It is an arithmetic number, because the mean of its divisors is an integer number (2953727036400).

Almost surely, 2^{100210210201020} is an apocalyptic number.

100210210201020 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 100210210201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141778897747200).

100210210201020 is an abundant number, since it is smaller than the sum of its proper divisors (183347585293380).

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

100210210201020 is a wasteful number, since it uses less digits than its factorization.

100210210201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11152195 (or 11152193 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100210210201020 its reverse (20102012012001), we get a palindrome (120312222213021).

The spelling of 100210210201020 in words is "one hundred trillion, two hundred ten billion, two hundred ten million, two hundred one thousand, twenty".