1000101102210 has 288 divisors, whose sum is σ = 3085404835968. Its totient is φ = 220009489920.

The previous prime is 1000101102179. The next prime is 1000101102233. The reversal of 1000101102210 is 122011010001.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000101102192 and 1000101102201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1464276529 + ... + 1464277211.

It is an arithmetic number, because the mean of its divisors is an integer number (10713211236).

Almost surely, 2^{1000101102210} is an apocalyptic number.

1000101102210 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 1000101102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542702417984).

1000101102210 is an abundant number, since it is smaller than the sum of its proper divisors (2085303733758).

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

1000101102210 is an equidigital number, since it uses as much as digits as its factorization.

1000101102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 824 counting only the distinct ones).

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

Adding to 1000101102210 its reverse (122011010001), we get a palindrome (1122112112211).

The spelling of 1000101102210 in words is "one trillion, one hundred one million, one hundred two thousand, two hundred ten".