10100222122212 has 144 divisors (see below), whose sum is σ = 26261499242160. Its totient is φ = 3270711757824.

The previous prime is 10100222122183. The next prime is 10100222122217. The reversal of 10100222122212 is 21222122200101.

It is a happy number.

10100222122212 is a `hidden beast` number, since 10 + 100 + 222 + 122 + 212 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3244234982976 + 6855987139236 = 1801176^2 + 2618394^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10100222122217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4564039618 + ... + 4564041830.

It is an arithmetic number, because the mean of its divisors is an integer number (182371522515).

Almost surely, 2^{10100222122212} is an apocalyptic number.

10100222122212 is a gapful number since it is divisible by the number (12) 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 10100222122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13130749621080).

10100222122212 is an abundant number, since it is smaller than the sum of its proper divisors (16161277119948).

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

10100222122212 is a wasteful number, since it uses less digits than its factorization.

10100222122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10100222122212 its reverse (21222122200101), we get a palindrome (31322344322313).

The spelling of 10100222122212 in words is "ten trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred twelve".