102101220100002 has 32 divisors (see below), whose sum is σ = 206029121762880. Its totient is φ = 33729350359040.

The previous prime is 102101220100001. The next prime is 102101220100003. The reversal of 102101220100002 is 200001022101201.

102101220100002 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102101220100001) and next prime (102101220100003).

It is not an unprimeable number, because it can be changed into a prime (102101220100001) 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, 12624 + ... + 14289947.

It is an arithmetic number, because the mean of its divisors is an integer number (6438410055090).

Almost surely, 2^{102101220100002} is an apocalyptic number.

102101220100002 is an abundant number, since it is smaller than the sum of its proper divisors (103927901662878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102101220100002 is a wasteful number, since it uses less digits than its factorization.

102101220100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14313218.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102101220100002 its reverse (200001022101201), we get a palindrome (302102242201203).

The spelling of 102101220100002 in words is "one hundred two trillion, one hundred one billion, two hundred twenty million, one hundred thousand, two".