100120101021122 has 128 divisors (see below), whose sum is σ = 195122559744000. Its totient is φ = 38259297216000.

The previous prime is 100120101021089. The next prime is 100120101021151. The reversal of 100120101021122 is 221120101021001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100120101021097 and 100120101021106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35573879 + ... + 38284997.

It is an arithmetic number, because the mean of its divisors is an integer number (1524394998000).

Almost surely, 2^{100120101021122} is an apocalyptic number.

100120101021122 is a deficient number, since it is larger than the sum of its proper divisors (95002458722878).

100120101021122 is a wasteful number, since it uses less digits than its factorization.

100120101021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711297 (or 2711283 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100120101021122 its reverse (221120101021001), we get a palindrome (321240202042123).

The spelling of 100120101021122 in words is "one hundred trillion, one hundred twenty billion, one hundred one million, twenty-one thousand, one hundred twenty-two".