1211011022100 has 288 divisors, whose sum is σ = 3873776062464. Its totient is φ = 289655654400.

The previous prime is 1211011022027. The next prime is 1211011022119. The reversal of 1211011022100 is 12201101121.

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

It is a congruent number.

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, 83149419 + ... + 83163981.

It is an arithmetic number, because the mean of its divisors is an integer number (13450611328).

Almost surely, 2^{1211011022100} is an apocalyptic number.

1211011022100 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 1211011022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936888031232).

1211011022100 is an abundant number, since it is smaller than the sum of its proper divisors (2662765040364).

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

1211011022100 is a wasteful number, since it uses less digits than its factorization.

1211011022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14927 (or 14920 counting only the distinct ones).

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

Adding to 1211011022100 its reverse (12201101121), we get a palindrome (1223212123221).

The spelling of 1211011022100 in words is "one trillion, two hundred eleven billion, eleven million, twenty-two thousand, one hundred".