101221001211120 has 160 divisors (see below), whose sum is σ = 358619911380480. Its totient is φ = 23135689221120.

The previous prime is 101221001211101. The next prime is 101221001211131. The reversal of 101221001211120 is 21112100122101.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101221001211120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73691415 + ... + 75052425.

It is an arithmetic number, because the mean of its divisors is an integer number (2241374446128).

Almost surely, 2^{101221001211120} is an apocalyptic number.

101221001211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221001211120 is an abundant number, since it is smaller than the sum of its proper divisors (257398910169360).

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

101221001211120 is a wasteful number, since it uses less digits than its factorization.

101221001211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405303 (or 1405297 counting only the distinct ones).

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

Adding to 101221001211120 its reverse (21112100122101), we get a palindrome (122333101333221).

The spelling of 101221001211120 in words is "one hundred one trillion, two hundred twenty-one billion, one million, two hundred eleven thousand, one hundred twenty".