101211201012120 has 128 divisors (see below), whose sum is σ = 306341888855040. Its totient is φ = 26748950251520.

The previous prime is 101211201012083. The next prime is 101211201012161. The reversal of 101211201012120 is 21210102112101.

It is a happy number.

It is a super-3 number, since 3×101211201012120³ (a number of 43 digits) contains 333 as substring.

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 101211201012120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200856727 + ... + 201359993.

It is an arithmetic number, because the mean of its divisors is an integer number (2393296006680).

Almost surely, 2^{101211201012120} is an apocalyptic number.

101211201012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211201012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153170944427520).

101211201012120 is an abundant number, since it is smaller than the sum of its proper divisors (205130687842920).

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

101211201012120 is a wasteful number, since it uses less digits than its factorization.

101211201012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518225 (or 518221 counting only the distinct ones).

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

Adding to 101211201012120 its reverse (21210102112101), we get a palindrome (122421303124221).

The spelling of 101211201012120 in words is "one hundred one trillion, two hundred eleven billion, two hundred one million, twelve thousand, one hundred twenty".