1011121210100 has 18 divisors (see below), whose sum is σ = 2194133026134. Its totient is φ = 404448484000.

The previous prime is 1011121210087. The next prime is 1011121210109. The reversal of 1011121210100 is 10121211101.

It can be written as a sum of positive squares in 3 ways, for example, as 3960436624 + 1007160773476 = 62932^2 + 1003574^2 .

It is a super-3 number, since 3×1011121210100³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011121210109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5055605951 + ... + 5055606150.

Almost surely, 2^{1011121210100} is an apocalyptic number.

1011121210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011121210100 is an abundant number, since it is smaller than the sum of its proper divisors (1183011816034).

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

1011121210100 is a wasteful number, since it uses less digits than its factorization.

1011121210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111212115 (or 10111212108 counting only the distinct ones).

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

Adding to 1011121210100 its reverse (10121211101), we get a palindrome (1021242421201).

It can be divided in two parts, 1011121 and 210100, that added together give a palindrome (1221221).

The spelling of 1011121210100 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred ten thousand, one hundred".