10100211220 has 36 divisors (see below), whose sum is σ = 23313964212. Its totient is φ = 3672803200.

The previous prime is 10100211211. The next prime is 10100211223. The reversal of 10100211220 is 2211200101.

It can be written as a sum of positive squares in 2 ways, for example, as 1075971204 + 9024240016 = 32802^2 + 94996^2 .

It is a super-2 number, since 2×10100211220² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10100211197 and 10100211206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100211223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2084401 + ... + 2089240.

It is an arithmetic number, because the mean of its divisors is an integer number (647610117).

Almost surely, 2^10100211220 is an apocalyptic number.

10100211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100211220 is an abundant number, since it is smaller than the sum of its proper divisors (13213752992).

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

10100211220 is a wasteful number, since it uses less digits than its factorization.

10100211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173672 (or 4173659 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100211220 its reverse (2211200101), we get a palindrome (12311411321).

The spelling of 10100211220 in words is "ten billion, one hundred million, two hundred eleven thousand, two hundred twenty".