2101112001020 has 24 divisors (see below), whose sum is σ = 4506214676544. Its totient is φ = 822562995776.

The previous prime is 2101112000993. The next prime is 2101112001029. The reversal of 2101112001020 is 201002111012.

It is a super-3 number, since 3×2101112001020³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101112000992 and 2101112001010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101112001029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1117611827 + ... + 1117613706.

It is an arithmetic number, because the mean of its divisors is an integer number (187758944856).

Almost surely, 2^{2101112001020} is an apocalyptic number.

2101112001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101112001020 is an abundant number, since it is smaller than the sum of its proper divisors (2405102675524).

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

2101112001020 is a wasteful number, since it uses less digits than its factorization.

2101112001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235225589 (or 2235225587 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2101112001020 its reverse (201002111012), we get a palindrome (2302114112032).

The spelling of 2101112001020 in words is "two trillion, one hundred one billion, one hundred twelve million, one thousand, twenty".