101110221222010 has 768 divisors, whose sum is σ = 261645014937600. Its totient is φ = 27720945584640.

The previous prime is 101110221221983. The next prime is 101110221222037. The reversal of 101110221222010 is 10222122011101.

It is an interprime number because it is at equal distance from previous prime (101110221221983) and next prime (101110221222037).

It is a super-3 number, since 3×101110221222010³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 90035815309 + ... + 90035816431.

It is an arithmetic number, because the mean of its divisors is an integer number (340683613200).

Almost surely, 2^{101110221222010} is an apocalyptic number.

101110221222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101110221222010 is an abundant number, since it is smaller than the sum of its proper divisors (160534793715590).

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

101110221222010 is a wasteful number, since it uses less digits than its factorization.

101110221222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101110221222010 its reverse (10222122011101), we get a palindrome (111332343233111).

The spelling of 101110221222010 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty-one million, two hundred twenty-two thousand, ten".