101021212110 has 192 divisors, whose sum is σ = 311940804672. Its totient is φ = 20738156544.

The previous prime is 101021212079. The next prime is 101021212129. The reversal of 101021212110 is 11212120101.

It is a super-2 number, since 2×101021212110² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 635634 + ... + 778506.

It is an arithmetic number, because the mean of its divisors is an integer number (1624691691).

Almost surely, 2^101021212110 is an apocalyptic number.

101021212110 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 101021212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155970402336).

101021212110 is an abundant number, since it is smaller than the sum of its proper divisors (210919592562).

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

101021212110 is a wasteful number, since it uses less digits than its factorization.

101021212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142947 (or 142940 counting only the distinct ones).

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

Adding to 101021212110 its reverse (11212120101), we get a palindrome (112233332211).

The spelling of 101021212110 in words is "one hundred one billion, twenty-one million, two hundred twelve thousand, one hundred ten".