101221121220010 has 128 divisors (see below), whose sum is σ = 207229678387200. Its totient is φ = 35263382880000.

The previous prime is 101221121219983. The next prime is 101221121220019. The reversal of 101221121220010 is 10022121122101.

It is not an unprimeable number, because it can be changed into a prime (101221121220019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4463197851 + ... + 4463220529.

It is an arithmetic number, because the mean of its divisors is an integer number (1618981862400).

Almost surely, 2^{101221121220010} is an apocalyptic number.

101221121220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101221121220010 is an abundant number, since it is smaller than the sum of its proper divisors (106008557167190).

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

101221121220010 is a wasteful number, since it uses less digits than its factorization.

101221121220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35788.

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

Adding to 101221121220010 its reverse (10022121122101), we get a palindrome (111243242342111).

The spelling of 101221121220010 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred twenty thousand, ten".