1202111110100 has 72 divisors (see below), whose sum is σ = 2667397822488. Its totient is φ = 470068185600.

The previous prime is 1202111110069. The next prime is 1202111110129. The reversal of 1202111110100 is 10111112021.

It can be written as a sum of positive squares in 12 ways, for example, as 707997713476 + 494113396624 = 841426^2 + 702932^2 .

It is a super-2 number, since 2×1202111110100² (a number of 25 digits) contains 22 as substring.

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, 1058690 + ... + 1877510.

It is an arithmetic number, because the mean of its divisors is an integer number (37047191979).

Almost surely, 2^{1202111110100} is an apocalyptic number.

1202111110100 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 1202111110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333698911244).

1202111110100 is an abundant number, since it is smaller than the sum of its proper divisors (1465286712388).

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

1202111110100 is a wasteful number, since it uses less digits than its factorization.

1202111110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819165 (or 819158 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1202111110100 its reverse (10111112021), we get a palindrome (1212222222121).

The spelling of 1202111110100 in words is "one trillion, two hundred two billion, one hundred eleven million, one hundred ten thousand, one hundred".