1202111120100 has 288 divisors, whose sum is σ = 3818087626752. Its totient is φ = 289598400000.

The previous prime is 1202111120071. The next prime is 1202111120113. The reversal of 1202111120100 is 10211112021.

It is a super-2 number, since 2×1202111120100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 905885637 + ... + 905886963.

It is an arithmetic number, because the mean of its divisors is an integer number (13257248704).

Almost surely, 2^{1202111120100} is an apocalyptic number.

1202111120100 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 1202111120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909043813376).

1202111120100 is an abundant number, since it is smaller than the sum of its proper divisors (2615976506652).

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

1202111120100 is a wasteful number, since it uses less digits than its factorization.

1202111120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1202111120100 its reverse (10211112021), we get a palindrome (1212322232121).

It can be divided in two parts, 12021 and 11120100, that added together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 1202111120100 in words is "one trillion, two hundred two billion, one hundred eleven million, one hundred twenty thousand, one hundred".