1201010021100 has 432 divisors, whose sum is σ = 4151464664256. Its totient is φ = 289142784000.

The previous prime is 1201010021087. The next prime is 1201010021119. The reversal of 1201010021100 is 11200101021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40178160 + ... + 40208040.

It is an arithmetic number, because the mean of its divisors is an integer number (9609871908).

Almost surely, 2^{1201010021100} is an apocalyptic number.

1201010021100 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 1201010021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075732332128).

1201010021100 is an abundant number, since it is smaller than the sum of its proper divisors (2950454643156).

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

1201010021100 is a wasteful number, since it uses less digits than its factorization.

1201010021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30026 (or 30016 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1201010021100 its reverse (11200101021), we get a palindrome (1212210122121).

The spelling of 1201010021100 in words is "one trillion, two hundred one billion, ten million, twenty-one thousand, one hundred".