102122010102101 has 8 divisors (see below), whose sum is σ = 112207309989600. Its totient is φ = 92170290345840.

The previous prime is 102122010101989. The next prime is 102122010102109. The reversal of 102122010102101 is 101201010221201.

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 102122010102101 - 2²⁶ = 102121942993237 is a prime.

It is a super-2 number, since 2×102122010102101² (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 (102122010102109) 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, 33395031206 + ... + 33395034263.

It is an arithmetic number, because the mean of its divisors is an integer number (14025913748700).

Almost surely, 2^{102122010102101} is an apocalyptic number.

102122010102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102122010102101 is a deficient number, since it is larger than the sum of its proper divisors (10085299887499).

102122010102101 is a wasteful number, since it uses less digits than its factorization.

102122010102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66790065619.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102122010102101 its reverse (101201010221201), we get a palindrome (203323020323302).

The spelling of 102122010102101 in words is "one hundred two trillion, one hundred twenty-two billion, ten million, one hundred two thousand, one hundred one".