101221012112010 has 128 divisors (see below), whose sum is σ = 277860741120000. Its totient is φ = 23117404880640.

The previous prime is 101221012112009. The next prime is 101221012112027. The reversal of 101221012112010 is 10211210122101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3647721616 + ... + 3647749364.

It is an arithmetic number, because the mean of its divisors is an integer number (2170787040000).

Almost surely, 2^{101221012112010} is an apocalyptic number.

101221012112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101221012112010 is an abundant number, since it is smaller than the sum of its proper divisors (176639729007990).

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

101221012112010 is a wasteful number, since it uses less digits than its factorization.

101221012112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41276.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101221012112010 its reverse (10211210122101), we get a palindrome (111432222234111).

The spelling of 101221012112010 in words is "one hundred one trillion, two hundred twenty-one billion, twelve million, one hundred twelve thousand, ten".