102101101202100 has 1728 divisors, whose sum is σ = 410942102022144. Its totient is φ = 19236672000000.

The previous prime is 102101101202081. The next prime is 102101101202119. The reversal of 102101101202100 is 1202101101201.

It is an interprime number because it is at equal distance from previous prime (102101101202081) and next prime (102101101202119).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 27812883265 + ... + 27812886935.

It is an arithmetic number, because the mean of its divisors is an integer number (237813716448).

Almost surely, 2^{102101101202100} is an apocalyptic number.

102101101202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101101202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205471051011072).

102101101202100 is an abundant number, since it is smaller than the sum of its proper divisors (308841000820044).

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

102101101202100 is a wasteful number, since it uses less digits than its factorization.

102101101202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102101101202100 its reverse (1202101101201), we get a palindrome (103303202303301).

It can be divided in two parts, 102101101 and 202100, that added together give a palindrome (102303201).

The spelling of 102101101202100 in words is "one hundred two trillion, one hundred one billion, one hundred one million, two hundred two thousand, one hundred".