1210111002000 has 400 divisors, whose sum is σ = 4374211965552. Its totient is φ = 322460006400.

The previous prime is 1210111001999. The next prime is 1210111002103. The reversal of 1210111002000 is 2001110121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 950952628224 + 259158373776 = 975168^2 + 509076^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×1210111002000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 426544582 + ... + 426547418.

Almost surely, 2^{1210111002000} is an apocalyptic number.

1210111002000 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 1210111002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187105982776).

1210111002000 is an abundant number, since it is smaller than the sum of its proper divisors (3164100963552).

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

1210111002000 is a wasteful number, since it uses less digits than its factorization.

1210111002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1210111002000 its reverse (2001110121), we get a palindrome (1212112112121).

The spelling of 1210111002000 in words is "one trillion, two hundred ten billion, one hundred eleven million, two thousand".