100210211010 has 384 divisors, whose sum is σ = 325898366976. Its totient is φ = 20801733120.

The previous prime is 100210210987. The next prime is 100210211011. The reversal of 100210211010 is 10112012001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100210210983 and 100210211001.

It is not an unprimeable number, because it can be changed into a prime (100210211011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177992989 + ... + 177993551.

It is an arithmetic number, because the mean of its divisors is an integer number (848693664).

Almost surely, 2^100210211010 is an apocalyptic number.

100210211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100210211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162949183488).

100210211010 is an abundant number, since it is smaller than the sum of its proper divisors (225688155966).

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

100210211010 is a wasteful number, since it uses less digits than its factorization.

100210211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100210211010 its reverse (10112012001), we get a palindrome (110322223011).

The spelling of 100210211010 in words is "one hundred billion, two hundred ten million, two hundred eleven thousand, ten".