21122101010010 has 512 divisors, whose sum is σ = 70447723315200. Its totient is φ = 3909615575040.

The previous prime is 21122101009967. The next prime is 21122101010161. The reversal of 21122101010010 is 1001010122112.

It is a super-2 number, since 2×21122101010010² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2000383111 + ... + 2000393669.

It is an arithmetic number, because the mean of its divisors is an integer number (137593209600).

Almost surely, 2^{21122101010010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122101010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35223861657600).

21122101010010 is an abundant number, since it is smaller than the sum of its proper divisors (49325622305190).

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

21122101010010 is a wasteful number, since it uses less digits than its factorization.

21122101010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12926.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21122101010010 its reverse (1001010122112), we get a palindrome (22123111132122).

The spelling of 21122101010010 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred one million, ten thousand, ten".