1210100901600 has 144 divisors (see below), whose sum is σ = 3946713144192. Its totient is φ = 322051714560.

The previous prime is 1210100901563. The next prime is 1210100901631. The reversal of 1210100901600 is 61090010121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705999 + ... + 1708401.

It is an arithmetic number, because the mean of its divisors is an integer number (27407730168).

Almost surely, 2^{1210100901600} is an apocalyptic number.

1210100901600 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 1210100901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973356572096).

1210100901600 is an abundant number, since it is smaller than the sum of its proper divisors (2736612242592).

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

1210100901600 is a wasteful number, since it uses less digits than its factorization.

1210100901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002929 (or 1002916 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 1210100901600 its reverse (61090010121), we get a palindrome (1271190911721).

The spelling of 1210100901600 in words is "one trillion, two hundred ten billion, one hundred million, nine hundred one thousand, six hundred".