101210000201101 has 16 divisors (see below), whose sum is σ = 111044559356928. Its totient is φ = 91481531876800.

The previous prime is 101210000201069. The next prime is 101210000201159. The reversal of 101210000201101 is 101102000012101.

It is a cyclic number.

It is not a de Polignac number, because 101210000201101 - 2⁵ = 101210000201069 is a prime.

It is a super-2 number, since 2×101210000201101² (a number of 29 digits) contains 22 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 (101210000241101) 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, 7865470 + ... + 16256863.

It is an arithmetic number, because the mean of its divisors is an integer number (6940284959808).

Almost surely, 2^{101210000201101} is an apocalyptic number.

101210000201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101210000201101 is a deficient number, since it is larger than the sum of its proper divisors (9834559155827).

101210000201101 is a wasteful number, since it uses less digits than its factorization.

101210000201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24124532.

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

Adding to 101210000201101 its reverse (101102000012101), we get a palindrome (202312000213202).

The spelling of 101210000201101 in words is "one hundred one trillion, two hundred ten billion, two hundred one thousand, one hundred one".