100120001001200 has 120 divisors (see below), whose sum is σ = 254789410567968. Its totient is φ = 37677170442240.

The previous prime is 100120001001197. The next prime is 100120001001211. The reversal of 100120001001200 is 2100100021001.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 14079224 + ... + 19961576.

Almost surely, 2^{100120001001200} is an apocalyptic number.

100120001001200 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 100120001001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127394705283984).

100120001001200 is an abundant number, since it is smaller than the sum of its proper divisors (154669409566768).

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

100120001001200 is a wasteful number, since it uses less digits than its factorization.

100120001001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5884891 (or 5884880 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100120001001200 its reverse (2100100021001), we get a palindrome (102220101022201).

The spelling of 100120001001200 in words is "one hundred trillion, one hundred twenty billion, one million, one thousand, two hundred".