100202100012101 has 8 divisors (see below), whose sum is σ = 105475999651680. Its totient is φ = 94928210862768.

The previous prime is 100202100012061. The next prime is 100202100012121. The reversal of 100202100012101 is 101210001202001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100202100012101 - 2¹⁴ = 100202099995717 is a prime.

It is a super-3 number, since 3×100202100012101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202100012121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23820755 + ... + 27709791.

It is an arithmetic number, because the mean of its divisors is an integer number (13184499956460).

Almost surely, 2^{100202100012101} is an apocalyptic number.

It is an amenable number.

100202100012101 is a deficient number, since it is larger than the sum of its proper divisors (5273899639579).

100202100012101 is a wasteful number, since it uses less digits than its factorization.

100202100012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245123.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100202100012101 its reverse (101210001202001), we get a palindrome (201412101214102).

The spelling of 100202100012101 in words is "one hundred trillion, two hundred two billion, one hundred million, twelve thousand, one hundred one".