2101120202000 has 80 divisors (see below), whose sum is σ = 5379362185392. Its totient is φ = 791009945600.

The previous prime is 2101120201981. The next prime is 2101120202021. The reversal of 2101120202000 is 2020211012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 162041671936 + 1939078530064 = 402544^2 + 1392508^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2101120202000² (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 30864827 + ... + 30932826.

Almost surely, 2^{2101120202000} is an apocalyptic number.

2101120202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101120202000 is an abundant number, since it is smaller than the sum of its proper divisors (3278241983392).

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

2101120202000 is a wasteful number, since it uses less digits than its factorization.

2101120202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61797693 (or 61797677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2101120202000 its reverse (2020211012), we get a palindrome (2103140413012).

The spelling of 2101120202000 in words is "two trillion, one hundred one billion, one hundred twenty million, two hundred two thousand".