2102001120219 has 512 divisors, whose sum is σ = 4214150922240. Its totient is φ = 902028441600.

The previous prime is 2102001120217. The next prime is 2102001120239. The reversal of 2102001120219 is 9120211002012.

It is not a de Polignac number, because 2102001120219 - 2¹ = 2102001120217 is a prime.

It is a super-2 number, since 2×2102001120219² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2102001120195 and 2102001120204.

It is not an unprimeable number, because it can be changed into a prime (2102001120217) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 13388542089 + ... + 13388542245.

It is an arithmetic number, because the mean of its divisors is an integer number (8230763520).

Almost surely, 2^{2102001120219} is an apocalyptic number.

2102001120219 is an abundant number, since it is smaller than the sum of its proper divisors (2112149802021).

2102001120219 is a wasteful number, since it uses less digits than its factorization.

2102001120219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 2102001120219 in words is "two trillion, one hundred two billion, one million, one hundred twenty thousand, two hundred nineteen".