102101002222100 has 432 divisors, whose sum is σ = 263071911070080. Its totient is φ = 34290200448000.

The previous prime is 102101002222097. The next prime is 102101002222127. The reversal of 102101002222100 is 1222200101201.

It is a super-2 number, since 2×102101002222100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18473129537 + ... + 18473135063.

Almost surely, 2^{102101002222100} is an apocalyptic number.

102101002222100 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 102101002222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131535955535040).

102101002222100 is an abundant number, since it is smaller than the sum of its proper divisors (160970908847980).

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

102101002222100 is a wasteful number, since it uses less digits than its factorization.

102101002222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6048 (or 6034 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102101002222100 its reverse (1222200101201), we get a palindrome (103323202323301).

The spelling of 102101002222100 in words is "one hundred two trillion, one hundred one billion, two million, two hundred twenty-two thousand, one hundred".