2120146211100 has 144 divisors (see below), whose sum is σ = 6343318251648. Its totient is φ = 546425468160.

The previous prime is 2120146211087. The next prime is 2120146211101. The reversal of 2120146211100 is 11126410212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120146211101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70207 + ... + 2060393.

It is an arithmetic number, because the mean of its divisors is an integer number (44050821192).

Almost surely, 2^{2120146211100} is an apocalyptic number.

2120146211100 is a gapful number since it is divisible by the number (20) 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 2120146211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171659125824).

2120146211100 is an abundant number, since it is smaller than the sum of its proper divisors (4223172040548).

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

2120146211100 is a wasteful number, since it uses less digits than its factorization.

2120146211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990324 (or 1990317 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The spelling of 2120146211100 in words is "two trillion, one hundred twenty billion, one hundred forty-six million, two hundred eleven thousand, one hundred".