100323101210101 has 16 divisors (see below), whose sum is σ = 125078525849088. Its totient is φ = 78173611542000.

The previous prime is 100323101210089. The next prime is 100323101210113. The reversal of 100323101210101 is 101012101323001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100323101210089) and next prime (100323101210113).

It is a cyclic number.

It is not a de Polignac number, because 100323101210101 - 2¹⁷ = 100323101079029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100323101216101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26717146 + ... + 30239908.

It is an arithmetic number, because the mean of its divisors is an integer number (7817407865568).

Almost surely, 2^{100323101210101} is an apocalyptic number.

100323101210101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100323101210101 is a deficient number, since it is larger than the sum of its proper divisors (24755424638987).

100323101210101 is a wasteful number, since it uses less digits than its factorization.

100323101210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892632.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100323101210101 its reverse (101012101323001), we get a palindrome (201335202533102).

The spelling of 100323101210101 in words is "one hundred trillion, three hundred twenty-three billion, one hundred one million, two hundred ten thousand, one hundred one".