10200101120101 has 8 divisors (see below), whose sum is σ = 10229154336000. Its totient is φ = 10171051464240.

The previous prime is 10200101119997. The next prime is 10200101120119. The reversal of 10200101120101 is 10102110100201.

10200101120101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10200101120101 - 2⁹ = 10200101119589 is a prime.

It is a super-3 number, since 3×10200101120101³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200101120171) 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, 4902075 + ... + 6665623.

It is an arithmetic number, because the mean of its divisors is an integer number (1278644292000).

Almost surely, 2^{10200101120101} is an apocalyptic number.

It is an amenable number.

10200101120101 is a deficient number, since it is larger than the sum of its proper divisors (29053215899).

10200101120101 is a wasteful number, since it uses less digits than its factorization.

10200101120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780019.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10200101120101 its reverse (10102110100201), we get a palindrome (20302211220302).

The spelling of 10200101120101 in words is "ten trillion, two hundred billion, one hundred one million, one hundred twenty thousand, one hundred one".