120101210102100 has 288 divisors, whose sum is σ = 354993697699200. Its totient is φ = 31343240192000.

The previous prime is 120101210102057. The next prime is 120101210102117. The reversal of 120101210102100 is 1201012101021.

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, 11485240072 + ... + 11485250528.

It is an arithmetic number, because the mean of its divisors is an integer number (1232617005900).

Almost surely, 2^{120101210102100} is an apocalyptic number.

120101210102100 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 120101210102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177496848849600).

120101210102100 is an abundant number, since it is smaller than the sum of its proper divisors (234892487597100).

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

120101210102100 is a wasteful number, since it uses less digits than its factorization.

120101210102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14923 (or 14916 counting only the distinct ones).

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

Adding to 120101210102100 its reverse (1201012101021), we get a palindrome (121302222203121).

120101210102100 divided by its reverse (1201012101021) gives a square (100 = 10²).

The spelling of 120101210102100 in words is "one hundred twenty trillion, one hundred one billion, two hundred ten million, one hundred two thousand, one hundred".