101101201002120 has 384 divisors, whose sum is σ = 337656094715520. Its totient is φ = 24196660224000.

The previous prime is 101101201002091. The next prime is 101101201002143. The reversal of 101101201002120 is 21200102101101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101101201002096 and 101101201002105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 508783104 + ... + 508981776.

It is an arithmetic number, because the mean of its divisors is an integer number (879312746655).

Almost surely, 2^{101101201002120} is an apocalyptic number.

101101201002120 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 101101201002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168828047357760).

101101201002120 is an abundant number, since it is smaller than the sum of its proper divisors (236554893713400).

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

101101201002120 is a wasteful number, since it uses less digits than its factorization.

101101201002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199157 (or 199142 counting only the distinct ones).

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

Adding to 101101201002120 its reverse (21200102101101), we get a palindrome (122301303103221).

The spelling of 101101201002120 in words is "one hundred one trillion, one hundred one billion, two hundred one million, two thousand, one hundred twenty".