101002001102101 has 16 divisors (see below), whose sum is σ = 110373814172160. Its totient is φ = 91661829508080.

The previous prime is 101002001102083. The next prime is 101002001102213. The reversal of 101002001102101 is 101201100200101.

It is a cyclic number.

It is not a de Polignac number, because 101002001102101 - 2¹⁹ = 101002000577813 is a prime.

It is a super-2 number, since 2×101002001102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002001109101) 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, 437791960 + ... + 438022606.

It is an arithmetic number, because the mean of its divisors is an integer number (6898363385760).

Almost surely, 2^{101002001102101} is an apocalyptic number.

101002001102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002001102101 is a deficient number, since it is larger than the sum of its proper divisors (9371813070059).

101002001102101 is a wasteful number, since it uses less digits than its factorization.

101002001102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299064.

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

Adding to 101002001102101 its reverse (101201100200101), we get a palindrome (202203101302202).

The spelling of 101002001102101 in words is "one hundred one trillion, two billion, one million, one hundred two thousand, one hundred one".