1203010021100 has 72 divisors (see below), whose sum is σ = 2750437866960. Its totient is φ = 455461125120.

The previous prime is 1203010021099. The next prime is 1203010021117. The reversal of 1203010021100 is 11200103021.

It is a super-3 number, since 3×1203010021100³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 1795712 + ... + 2372888.

It is an arithmetic number, because the mean of its divisors is an integer number (38200525930).

Almost surely, 2^{1203010021100} is an apocalyptic number.

1203010021100 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 1203010021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375218933480).

1203010021100 is an abundant number, since it is smaller than the sum of its proper divisors (1547427845860).

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

1203010021100 is a wasteful number, since it uses less digits than its factorization.

1203010021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578307 (or 578300 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1203010021100 its reverse (11200103021), we get a palindrome (1214210124121).

The spelling of 1203010021100 in words is "one trillion, two hundred three billion, ten million, twenty-one thousand, one hundred".