101221112010 has 256 divisors, whose sum is σ = 261933170688. Its totient is φ = 24995174400.

The previous prime is 101221111987. The next prime is 101221112011. The reversal of 101221112010 is 10211122101.

It is not an unprimeable number, because it can be changed into a prime (101221112011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 479720805 + ... + 479721015.

It is an arithmetic number, because the mean of its divisors is an integer number (1023176448).

Almost surely, 2^101221112010 is an apocalyptic number.

101221112010 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 101221112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130966585344).

101221112010 is an abundant number, since it is smaller than the sum of its proper divisors (160712058678).

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

101221112010 is a wasteful number, since it uses less digits than its factorization.

101221112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509.

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

Adding to 101221112010 its reverse (10211122101), we get a palindrome (111432234111).

The spelling of 101221112010 in words is "one hundred one billion, two hundred twenty-one million, one hundred twelve thousand, ten".