100210202021120 has 288 divisors, whose sum is σ = 246864639288960. Its totient is φ = 38962446336000.

The previous prime is 100210202021107. The next prime is 100210202021123. The reversal of 100210202021120 is 21120202012001.

It is a super-2 number, since 2×100210202021120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100210202021095 and 100210202021104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210202021123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2553041495 + ... + 2553080745.

It is an arithmetic number, because the mean of its divisors is an integer number (857168886420).

Almost surely, 2^{100210202021120} is an apocalyptic number.

100210202021120 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 100210202021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123432319644480).

100210202021120 is an abundant number, since it is smaller than the sum of its proper divisors (146654437267840).

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

100210202021120 is an equidigital number, since it uses as much as digits as its factorization.

100210202021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39741 (or 39727 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100210202021120 its reverse (21120202012001), we get a palindrome (121330404033121).

The spelling of 100210202021120 in words is "one hundred trillion, two hundred ten billion, two hundred two million, twenty-one thousand, one hundred twenty".